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BOOKS
(with I. Gohberg, P. Lancaster), Matrix Polynomials, Academic Press, 1982, 409+xivpp.
(with I. Gohberg, P, Lancaster), Invariant Subspaces of Matrices with Applications, J. Wiley, 1986, 692+xv pp.
REFEREED RESEARCH PAPERS
(with I. Gohberg, P. Lancaster), Spectral analysis of matrix polynomials, I. Canonical forms and divisors, Linear Algebra and Applications, 20 (1978), 1-44.
(with I. Gohberg, P. Lancaster), Spectral analysis of matrix polynomials, II. The resolvent form and spectral divisors, Linear Algebra and Applications, 21 (1978), 65-88.
(with I. Gohberg, M. A. Kaashoek), Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix, I. The finite dimensional case, in: Topics in Functional Analysis (eds. I. Gohberg and M. Kac), Academic Press (1978), 91-128.
(with I. Gohberg, L. Lerer), Factorization indices for matrix polynomials, Bulletin American Mathematical Society, 84 (1978), 275-277.
(with I. Gohberg), On spectral analysis of non-monic matrix and operator polynomials, I. Reduction to monic polynomials, Israel Journal of Mathematics, 30 (1978), 133-151.
(with I. Gohberg), On spectral analysis of non-monic matrix and operator polynomials, II. Dependence of the finite spectral data, Israel Journal of Mathematics, 30 (1978), 321-334.
(with I. Gohberg), On the spectral structure of monic matrix polynomials and the extension problem, Linear Algebra and Applications, 24 (1979), 157-172.
(with M. Schaps), On the partial multiplicities of a product of two matrix polynomials, Integral Equations and Operator Theory, 2 (1979), 565-599.
(with I. Gohberg, P. Lancaster), Perturbation theory for divisors of operator polynomials, SIAM Journal of Mathematics Analysis, 10 (1979), 1161-1183.
On connected components in the set of divisors of monic matrix polynomials, Linear Algebra and Applications, 31 (1980), 33-42.
(with I. Gohberg, M. A. Kaashoek, L. Lerer), Common multiples and common divisors of matrix polynomials, I. Spectral method, Indiana Journal of Math., 30 (1981), 321-356.
(with I. Gohberg, M. A. Kaashoek, L. Lerer), Common multiples and common divisors of matrix polynomials, II. Vandermonde and resultant, Linear and Multilinear Algebra, 12 (1982), 159-203.
(with I. Gohberg, L. Lerer), Wiener-Hopf factorization of piecewise matrix polynomials, Linear Algebra and Applications, 52/5 (1983), 315-350.
(with I. Gohberg, P. Lancaster), Quadratic matrix polynomials with a parameter, Advances in Applied Mathematics, 7 (1986), 253-282.
(with J. A. Ball, N. Cohen), Zero data and interpolation problems for rectangular matrix polynomials, Linear and Multilinear Algebra, 29 (1991), 53 - 78.
(with L. Lerer, M. Tismenetsky), Inertia theorems for matrix polynomials, Linear and Multilinear Algebra, 30 (1991), 157-182.
(with A. C. M. Ran), Factorization of matrix polynomials with symmetries, SIAM J. of Matrix Analysis and Applications, 15 (1994), 846-864.
(with C.-K. Li), Numerical range of matrix polynomials, SIAM J. Matrix Analysis and Applications, 15 (1994), 1256 - 1265.
(with A. C. M. Ran), Rate of stability of solutions of matrix polynomial and quadratic equations, Integral Equations and Operator Theory, 27 (1997), 71 - 102.
(with A. S. Markus), Some results on numerical ranges and factorizations of matrix polynomials, Linear and Multilinear Algebra, 42 (1997), 169 - 185.
(with L. Gurvits), On matrix polynomials with real roots, SIAM J. on Matrix Analysis and Applications, 26 (2005), 758 - 764.
EXPOSITORY AND SURVEY ARTICLES
Orthogonal matrix polynomials, in: Orthogonal Polynomials: Theory and Practice (ed. P. Nevai), NATO ASI Series, Kluwer Academic Publishers, (1990) pp. 345 - 362.
Matrix functions, Handbook of Algebra, Vol. 1 (M. Hazewinkel, ed.), 1996, pp. 117-154, Elsevier; Correction and Addition, Handbook of Algebra, Vol. 3 (2003), 63.
(with A. C. M. Ran), A class of robustness problems in matrix analysis, Operator Theory: Advances and Applications, 134 (2002), 337 - 389.
OTHER PUBLICATIONS
(with I. Gohberg, L. Lerer), On factorization, indices and completely decomposable matrix polynomials, Technical Report 80-47(1980) pp. 72., Department of Mathematical Sciences, Tel-Aviv University.
(with J. A. Ball, N. Cohen), On interpolation problems for rectangular matrix polynomials, Proceedings of 27th Conference on Decision and Control, Austin, Texas, USA, 1988, pp. 1370 - 1372.
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BOOKS
(with I. Gohberg, P. Lancaster), Matrix Polynomials, Academic Press, 1982, 409+xivpp.
(with I. Gohberg, P. Lancaster), Matrices and Indefinite Scalar Products, Birkhauser Verlag, 1983, 372+xvii pp.
(with I. Gohberg, P. Lancaster), Indefinite Linear Algebra and Applications, Birkhauser Verlag, 2005. REFEREED RESEARCH PAPERS
(with I. Gohberg, P. Lancaster), On selfadjoint matrix polynomials, Integral Equations and Operator Theory, 2/3 (1979), 434-439.
(with I. Gohberg, P. Lancaster), Spectral analysis of selfadjoint matrix polynomials, Annals of Mathematics, 112 (1980), 33-71.
(with I. Gohberg, P. Lancaster), Factorization of selfadjoint matrix polynomials with constant signature, Linear and Multilinear Algebra, 11 (1982), 209-224.
(with I. Gohberg, P. Lancaster), Perturbations of H-selfadjoint matrices, with applications to differential equations, Integral Equations and Operator Theory, 5 (1982), 718-757.
(with I. Gohberg, P. Lancaster), Quadratic matrix polynomials with a parameter, Advances in Applied Mathematics, 7 (1986), 253-282.
(with A. C. M. Ran), A matricial boundary value problem which appears in the transport theory, Journal of Mathematics Analysis and Applications, 130 (1988), 200-222.
(with L. Lerer, M. Tismenetsky), Inertia theorems for matrix polynomials, Linear and Multilinear Algebra, 30 (1991), 157-182.
(with A.C.M. Ran), Factorization of matrix polynomials with symmetries, SIAM J. of Matrix Analysis and Applications, 15 (1994), 846-864.
(with C.-K. Li), Numerical range of matrix polynomials, SIAM J. Matrix Analysis and Applications, 15 (1994), 1256 - 1265.
(with A. C. M. Ran), Rate of stability of solutions of matrix polynomial and quadratic equations, Integral Equations and Operator Theory, 27 (1997), 71 - 102.
(with A. S. Markus), Some results on numerical ranges and factorizations of matrix polynomials, Linear and Multilinear Algebra, 42 (1997), 169 - 185.
(with L. Gurvits), On matrix polynomials with real roots, SIAM J. on Matrix Analysis and Applications, 26 (2005), 758 - 764.
EXPOSITORY AND SURVEY ARTICLES
Hermitian matrix polynomials, in: Current Trends in Matrix Theory, (eds. F. Uhlig, R. Grone), (1987), 305-329, North-Holland.
Orthogonal matrix polynomials, in: Orthogonal Polynomials: Theory and Practice (ed. P. Nevai), NATO ASI Series, Kluwer Academic Publishers, (1990) pp. 345 - 362.
Matrix functions, Handbook of Algebra, Vol. 1 (M. Hazewinkel, ed.), 1996, pp. 117-154, Elsevier; Correction and Addition, Handbook of Algebra, Vol. 3 (2003), 63.
(with A. C. M. Ran), A class of robustness problems in matrix analysis, Operator Theory: Advances and Applications, 134 (2002), 337 - 389.
OTHER PUBLICATIONS
(with I. Gohberg, P. Lancaster), Spectral analysis of selfadjoint matrix polynomials, Research Paper 419(1979) pp. 126., University of Calgary.
(with A. C. M. Ran), Rate of stability of hermitian solutions of algebraic Riccati equations, Proceedings of the 5th SIAM Conference on Applied Linear Algebra (J. G. Lewis, ed.), (1994), 3-6.
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THESES
Spectral theory of analytic matrix functions, Ph. D. Thesis, Tel-Aviv University, Tel-Aviv, Israel, 1978. Prof. I. Gohberg, advisor.
REFEREED RESEARCH PAPERS
(with I. Gohberg), Analytic matrix functions with prescribed local data, Journal d'Analyse Mathematique, XL (1981), 90-128.
(with I. Gohberg, P. Lancaster), A sign characteristic for selfadjoint meromorphic matrix functions, Applicable Analysis, 16 (1983), 165-185.
(with I. Gohberg, P. Lancaster), Perturbations of analytic hermitian matrix functions, Applicable Analysis, 20 (1985), 23-48.
(with I. Gohberg), Interpolation and local data for meromorphic matrix and operator functions, Integral Equations and Operator Theory, 9 (1986), 60-94.
(with J. A. Ball, I. Gohberg), Minimal factorization of meromorphic matrix functions in terms of local data, Integral Equations and Operator Theory, 10 (1987), 309-348.
(with A. C. M. Ran), Semidefinite perturbations of analytic hermitian matrix functions, Integral Equations and Operator Theory 12 (1989), 739 - 745.
(with A. C. M. Ran), Generalized canonical factorization of matrix and operator functions with definite hermitian part, Integral Equations and Operator Theory, 15 (1992), 673-696.
(with D. Alpay, J. A. Ball, I. Gohberg), The two-sided residue interpolation in the Stieltjes class for matrix functions, Linear Algebra and its Applications, 208/209 (1994), 485- 522.
(with M. Rakowski), Interpolation and divisibility of meromorphic matrix functions, J. of Math. Analysis and Applications, 199 (1996), 592 - 619.
(with D. Alpay, V. Bolotnikov), Tangential interpolation with symmetries and two-points interpolation for matrix valued H-2-functions, Integral Equations and Operator Theory, 32 (1998), 1 - 28.
(with V. Bolotnikov), On positivity of analytic matrix functions in polydisks, Linear Algebra and Appl., 328 (2001), 69 - 94.
(with V. Bolotnikov), Krein - Langer factorizations via pole triples, Integral Equations and Operator Theory, 47 (2003), 169 - 195.
(with I. M. Spitkovsky), Analytic roots of invertible matrix functions, submitted.
EXPOSITORY AND SURVEY ARTICLES
Matrix functions, Handbook of Algebra, Vol. 1 (M. Hazewinkel, ed.), 1996, pp. 117-154, Elsevier. Correction and Addition, Handbook of Algebra, Vol. 3 (2003), 63.
OTHER PUBLICATIONS
(with J. A. Ball, N. Cohen, M. Rakowski), Spectral data and minimal divisibility of rectangular meromorphic matrix functions, Technical Report 91.04, The College of William and Mary, 1991.
(with M. Rakowski), Divisibility in a class of rational matrix functions, Systems and Networks: Mathematical Theory and Applications (U. Helmke, R. Mennicken, J. Saurer, eds.), Akademie Verlag, 1994, pp. 829- 834.
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BOOKS
(with I. Gohberg, P. Lancaster), Matrices and Indefinite Scalar Products, Birkhauser Verlag, 1983, 372+xvii pp.
REFEREED RESEARCH PAPERS
(with I. Gohberg, P. Lancaster), A sign characteristic for selfadjoint meromorphic matrix functions, Applicable Analysis, 16 (1983), 165-185.
(with I. Gohberg, P. Lancaster), Perturbations of analytic hermitian matrix functions, Applicable Analysis, 20 (1985), 23-48.
(with A. C. M. Ran), Semidefinite perturbations of analytic hermitian matrix functions, Integral Equations and Operator Theory 12 (1989), 739 - 745.
(with A. C. M. Ran), Generalized canonical factorization of matrix and operator functions with definite hermitian part, Integral Equations and Operator Theory, 15(1992), 673-696.
EXPOSITORY AND SURVEY ARTICLES
Matrix functions, Handbook of Algebra, Vol. 1 (M. Hazewinkel, ed.), 1996, pp. 117-154, Elsevier. Correction and Addition, Handbook of Algebra, Vol. 3 (2003), 63.
Go back to the top of this page
BOOKS
(with I. Gohberg, P. Lancaster), Matrices and Indefinite Scalar Products, Birkhauser Verlag, 1983, 372+xvii pp.
(with J. A. Ball, I. Gohberg), Interpolation of Rational Matrix Functions, Birkhauser Verlag,1990, 605 pp.
(with P. Lancaster), Algebraic Riccati Equations, Oxford University Press, 1995, 480 + xvii pp.
(with I. Gohberg, P. Lancaster), Indefinite Linear Algebra and Applications, Birkhauser Verlag, 2005.
REFEREED RESEARCH PAPERS
(with A. C. M. Ran), Stability of neutral invariant subspaces in indefinite inner products and stable symmetric factorizations, Integral Equations and Operator Theory, 6 (1983), 536-571.
(with A. C. M. Ran), Stability of invariant maximal semidefinite subspaces, II. Applications: selfadjoint rational matrix functions, algebraic Riccati equation, Linear Algebra and Its Applications, 63 (1984), 133-173.
(with A. C. M. Ran), Stable real invariant semidefinite subspaces and stable factorizations of symmetric rational matrix functions, Linear and Multilinear Algebra, 22 (1987), 25-55.
(with J. A. Ball, I. Gohberg), Sensitivity minimization and bitangential nevanlinna-Pick interpolation in the contour integral form, IMA Volume 23(eds. F. A. Grunbaum, J. W. Helton, P. Khargonekar) (1990), 3 - 35.
(with J. A. Ball, I. Gohberg), Two-sided Nudelman interpolation problem for rational matrix functions, Analysis and Partial Differential Equations (ed. C. Sadosky), 371 - 416, Marcel Dekker, 1990.
(with A. C. M. Ran), Stable invariant lagrangian subspaces: factorization of symmetric rational matrix functions and other applications, Linear Algebra and Applications 137- 138 (1990), 575-620.
(with D. Alpay, J. A. Ball, I. Gohberg), Realizations and factorizations of rational matrix functions with symmetries, Operator Theory: Advances and Applications 47 (1990), 1-60.
(with J. A. Ball, I. Gohberg), Boundary Nevanlinna-Pick interpolation for rational matrix functions, J. of Mathematical Systems Estimation and Control, 1 (1991), 131-164.
(with A. C. M. Ran), On symmetric factorizations of rational matrix functions, Linear and Multilinear Algebra,, 29 (1991), 243-261.
(with J. A. Ball, I. Gohberg), Nehari interpolation problem for rational matrix functions: the generic case, in: C. Foias et al., Ho - Control Theory (E. Mosca, L. Pandolfi, eds.), Lecture Notes in Mathematics, 1496 (1991), pp. 277-308, Springer-Verlag.
(with A. C. M. Ran), Laurent interpolation for rational matrix functions and a local factorization principle, J. of Math. Analysis and its Applications , 164(1992), 524-541.
(with A. C. M. Ran), Generalized canonical factorization of matrix and operator functions with definite hermitian part, Integral Equations and Operator Theory, 15 (1992), 673-696.
(with D. Alpay, J. A. Ball, I. Gohberg), State space theory of automorphisms of rational matrix functions, Integral Equations and Operator Theory, 15 (1992), 349-377.
(with A. C. M. Ran, J. E. Rubin), Direct complements of invariant lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions, Linear Algebra and Its Applications, 180 (1993), 61-94.
(with J. A. Ball, I. Gohberg), The structure of flat gain rational matrices that satisfy two- sided interpolation requirements, Systems and Control Letters, 20(1993), 401-412.
(with J. A. Ball, I. Gohberg), Two-sided tangential interpolation of real rational matrix functions, Operator Theory: Advances and Applications, 64 (1993), 73-102. Errata: Integral Equations and Operator Theory, 18 (1994), 495-497.
(with D. Alpay, J. A. Ball, I. Gohberg), J-unitary preserving automorphisms of rational matrix functions: state space theory, interpolation and factorization, Linear Algebra and its Applications, 197/198 (1994), 531-566.
(with D. Alpay, J. A. Ball, I. Gohberg), The two-sided residue interpolation in the Stieltjes class for matrix functions, Linear Algebra and its Applications, 208/209 (1994), 485- 522.
(with P. Lancaster), Minimal symmetric factorizations of symmetric real and complex rational matrix functions, Linear Algebra and its Applications, 220 (1995), 249 - 282.
(with L. Lerer), Symmetric factorizations and localization of zeroes of rational matrix functions, Linear and Multilinear Algebra, 40 (1996), 259 - 281.
(with L. Lerer), Bezoutians of rational matrix functions, matrix equations and factorizations, Linear Algebra and its Applications, 302/303 (1999), 105 - 133.
(with D. Alpay, V. Bolotnikov), Two--sided residue interpolation in matrix H_2 spaces with symmetries: Conformal conjugate involutions, Linear Algebra and its Applications, 351/352 (2002), 27 - 68.
EXPOSITORY AND SURVEY ARTICLES
(with J. A. Ball, I. Gohberg), Interpolation problems for rational matrix functions and systems theory, Proceedings of International Symposium on Mathematical Theory of Networks and Systems, 1992, pp. 3-12 (eds. H. Kimura, S. Kodama).
Matrix functions, Handbook of Algebra, Vol. 1 (M. Hazewinkel, ed.), 1996, pp. 117-154, Elsevier. Correction and Addition, Handbook of Algebra, Vol. 3 (2003), 63.
(with A. C. M. Ran), A class of robustness problems in matrix analysis, Operator Theory: Advances and Applications, 134 (2002), 337 - 389.
OTHER PUBLICATIONS
(with I. Gohberg, P. Lancaster), A sign characteristic for selfadjoint rational matrix functions, in: Mathematical Theory of Networks and Systems, ed. P. A. Fuhrmann, Lecture Notes in Control and Information Sciences, 58 (1984) 363-369, Springer-Verlag, Berlin.
(with A. C. M. Ran), Rate of stability of symmetric factorizations, Proc. of European Control Conference, (1997), 2 pp., Brussels, Belgium.
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BOOKS
An Introduction to Operator Polynomials, Birkhauser Verlag, 1989, 389 + xii pp.
REFEREED RESEARCH PAPERS
(with I. Gohberg, P. Lancaster), Representation and divisibility of operator polynomials, Canadian Math Journal, 30, 5(1978), 1045-1069.
(with I. Gohberg, M. A. Kaashoek), Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix, II. The infinite dimensional case, Journal of Functional Analysis, 30 (1978), 359-389.
On existence of common multiples of monic operator polynomials, Integral Equations and Operator Theory, 1 (1978), 400-414.
(with I. Gohberg, L. Lerer), On canonical factorization of operator polynomials, spectral divisors and Toeplitz matrices, Integral Equations and Operator Theory, 1 (1978), 176-214.
On analytic equivalence of operator polynomials, Integral Equations and Operator Theory, 2 (1979), 48-61.
(with I. Gohberg, P. Lancaster), Perturbation theory for divisors of operator polynomials, SIAM Journal of Mathematics Analysis, 10 (1979), 1161-1183.
(with I. Gohberg, L. Lerer), Stable factorization of operator polynomials, I. Spectral divisors simply behaved at infinity, Journal of Mathematical Analysis and Applications, 74 (1980), 401-431.
(with I. Gohberg, L. Lerer), Stable factorization of operator polynomials, II. Main results and applications to Toeplitz operators, Journal of Mathematical Analysis and Applications, 75 (1980), 1-40.
(with M. A. Kaashoek, C. V. M. van der Mee), Analytic operator functions with compact spectrum, III. Hilbert space case: inverse problem and applications, Journal of Operator Theory, 10 (1983), 219-250.
(with L. Lerer, M. Tismenetsky), Bezoutian and Schur-Cohn problem for operator polynomials, Journal of Mathematical Analysis and Applications, 103 (1984), 83-102.
(with A. C. M. Ran), Stability of solutions of the operator differential equation in transport theory, Integral Equations and Operator Theory, 8 (1985), 75-118.
On factorization of operator polynomials and analytic operator functions, Rocky Mountain Journal of Mathematics, 16 (1986), 153-162.
Bezout equation, Vandermonde operators, and common multiples of operator polynomials, Journal of Mathematical Analysis and Applications, 133 (1988), 68-78.
On factorization of selfadjoint operator polynomials, Proceedings of Symposia in Pure Mathematics, 51 (1990), 295-306.
(with L. Lerer), Spectrum separation and inertia for operator polynomials, J. of Mathematical Analysis and its Applications. 169 (1992), 260-282.
(with C.-K. Li), Numerical range of matrix polynomials, SIAM J. Matrix Analysis and Applications, 15 (1994), 1256 - 1265.
(with L. Lerer), Inertia of operator polynomials and stability of differential equations, Journal of Math. Analysis and Appl. 192 (1995), 579 - 606.
(with L. Lerer), Inertia bounds for operator polynomials, Operator Theory: Advances and Applications, 130 (2002), 255 - 276.
(with A. Pankov), Spectra of periodic operator polynomials with finitely many diagonals, Journal of Mathematical Analysis and Applications, 309 (2005), 167 - 175.
OTHER PUBLICATIONS
Equivalence of linear operator polynomials, Proceedings of the 4th International Symposium on the Mathematical Theory of Networks and Systems, (1979), 389-392, Delft, The Netherlands.
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BOOKS
An Introduction to Operator Polynomials, Birkhauser Verlag, 1989, 389 + xii pp.
REFEREED RESEARCH PAPERS
(with I. Gohberg, L. Lerer), On canonical factorization of operator polynomials, spectral divisors and Toeplitz matrices, Integral Equations and Operator Theory, 1 (1978), 176-214.
(with I. Gohberg, L. Lerer), Stable factorization of operator polynomials, II. Main results and applications to Toeplitz operators, Journal of Mathematical Analysis and Applications, 75 (1980), 1-40.
(with I. Gohberg, L. Lerer), Wiener-Hopf factorization of piecewise matrix polynomials, Linear Algebra and Applications, 52/5 (1983), 315-350.
(with K. Clancey), Eigenspaces of families of Toeplitz operators with rational matrix symbol, Manuscripta Mathematica, 45 (1983), 1-12.
On the structure of selfadjoint Toeplitz operators with rational matrix symbol, Proceedings of American Mathematical Society, 92 (1984), 487-494.
(with I. Gohberg, M. A. Kaashoek, L. Lerer), On Toeplitz and Wiener-Hopf operators with contourwise rational matrix and operator symbols, Constructive Methods of Wiener- Hopf factorization (eds. I. Gohberg, M. A. Kaashoek), Operator Theory: Advances and Applications, 21 (1986), 75-126, Birkhauser Verlag, Basel.
(with T. Shalom), On inversion of symmetric Toeplitz matrices, SIAM J. Matrix Analysis and Application, 13 (1992), 530-549.
(with M. Bakonyi, I. M. Spitkovsky, H. J. Woerdeman), Positive extensions of matrix functions of two variables with support in an infinite band, Comptes Rendues Acad. Sci. Paris, Serie I, 323 (1996), 859 - 863.
(with I. M. Spitkovsky, H. J. Woerdeman), Caratheodory - Toeplitz and Nehari problems for matrix valued almost periodic functions, Transactions of American Mathematical Society, 350 (1998), 2185 - 2227.
(with J. A. Ball, Yu. Karlovich, I. M. Spitkovsky), Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions, Integral Equations and Operator Theory, 32 (1998), 243 - 281.
(with M. Bakonyi, I. M. Spitkovsky, H. J. Woerdeman), Positive matrix functions on the bitorus with prescribed coefficients in a band, Journal of Fourier Analysis and Applications, 5 (1999), 21 - 44.
(with I. M. Spitkovsky, H. J. Woerdeman), Factorization of almost periodic matrix functions of several variables and Toeplitz operators, Operator Theory: Advances and Applications, 122 (2001), (H. Bart, I. Gohberg, A. C. M. Ran, eds.), 385 - 416.
(with I. M. Spitkovsky, H. J. Woerdeman), Contractive extension problems for matrix valued almost periodic functions of several variables, Journal of Operator Theory, 47 (2002), 3 - 35.
(with I. M. Spitkovsky, H. J. Woerdeman), Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols, Proceedings of Amer. Math. Soc., 130 (2002), 1365 - 1370.
(with I. M. Spitkovsky, H. J. Woerdeman), Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation, Memoirs of Amer. Math. Soc., No. 762 (2002), 71 pp.
(with J. A. Ball, I. M. Spitkovsky), Toeplitz corona problem for algebras of almost periodic functions, Operator Theory: Advances and Applications}, 135 (2002), 25 - 37.
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An Introduction to Operator Polynomials, Birkhauser Verlag, 1989, 389 + xii pp.
REFEREED RESEARCH PAPERS
On analytic equivalence of operator polynomials, Integral Equations and Operator Theory, 2 (1979), 48-61.
(with M. A. Kaashoek, C. V. M. van der Mee), Analytic operator functions with compact spectrum, I. Spectral linearization and equivalence, Integral Equations and Operator Theory, 4 (1981), 504-547.
(with M. A. Kaashoek, C. V. M. van der Mee), Analytic operator functions with compact spectrum, II. Spectral pairs and factorization, Integral Equations and Operator Theory, 5 (1982), 791-827.
(with M. A. Kaashoek, C. V. M. van der Mee), Analytic operator functions with compact spectrum, III. Hilbert space case: inverse problem and applications, Journal of Operator Theory, 10 (1983), 219-250.
(with I. Gohberg), Analytic operator valued functions with prescribed local data, Acta Math. (Szeged), 45 (1983), 189-200.
On factorization of operator polynomials and analytic operator functions, Rocky Mountain Journal of Mathematics, 16 (1986), 153-162.
(with I. Gohberg, M. A. Kaashoek, L. Lerer), On Toeplitz and Wiener-Hopf operators with contourwise rational matrix and operator symbols, Constructive Methods of Wiener- Hopf factorization (eds. I. Gohberg, M. A. Kaashoek), Operator Theory: Advances and Applications, 21 (1986), 75-126, Birkhauser Verlag, Basel.
(with I. Gohberg), Interpolation and local data for meromorphic matrix and operator functions, Integral Equations and Operator Theory, 9 (1986), 60-94.
(with D. Alpay, V. Bolotnikov), One-sided tangential interpolation for operator-valued Hardy functions on polydisks, Integral Equations and Operator Theory, 35 (1999), 253 - 270.
(with D. Alpay, V. Bolotnikov), Two--sided tangential interpolation for Hilbert--Schmidt operator functions on polydisks, Operator Theory: Advances and Applications, 124 (2001), 21 - 62.
(with L. Lerer), Inertia bounds for operator polynomials, Operator Theory: Advances and Applications, 130 (2002), 255 - 276.
(with V. Bolotnikov), Krein - Langer factorizations via pole triples, Integral Equations and Operator Theory, 47 (2003), 169 - 195.
(with V. Bolotnikov, A. Kheifets), Operator valued jet functions with positive Caratheodory--Pick operators, Integral Equations and Operator Theory, 50 (2004), 291 - 304.
OTHER PUBLICATIONS
(with M. A. Kaashoek, C. V. M. van der Mee), Spectral analysis of analytic operator functions with compact spectrum, Proceedings of the 5th International Symposium on the Mathematical Theory of Networks and Systems, Santa Monica, California, (1981), 134- 138.
(with I. Gohberg, M. A. Kaashoek), Local and global analytic equivalence of analytic operator functions, Linear and Complex Analysis Problem Book 3, Part I (eds. V. Havin, N. K. Nikolskii), Lecture Notes 1574, Springer Verlag, 1994, pp. 205-206.
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BOOKS
(with I. Gohberg, P. Lancaster), Matrices and Indefinite Scalar Products, Birkhauser Verlag, 1983, 372+xvii pp.
(with I. Gohberg, P, Lancaster), Invariant Subspaces of Matrices with Applications, J. Wiley, 1986, 692+xv pp.
(with J. A. Ball, I. Gohberg), Interpolation of Rational Matrix Functions, Birkhauser Verlag,1990, 605 pp.
(with P. Lancaster), Algebraic Riccati Equations, Oxford University Press, 1995, 480 + xvii pp.
REFEREED RESEARCH PAPERS
(with I. Gohberg, M. A. Kaashoek, L. Lerer), Minimal divisors of rational matrix functions with prescribed zero and pole structure, in: Topics in Operator Theory, Systems and Networks (eds. H. Dym, I. Gohberg), Operator Theory: Advances and Applications, 12 (1984), 241-275, Birkhauser Verlag, Basel.
On the structure of selfadjoint Toeplitz operators with rational matrix symbol, Proceedings of American Mathematical Society, 92 (1984), 487-494.
(with J. A. Ball, I. Gohberg), Minimal factorization of meromorphic matrix functions in terms of local data, Integral Equations and Operator Theory, 10 (1987), 309-348.
(with J. A. Ball, I. Gohberg), Two-sided Lagrange-Sylvester interpolation problems for rational matrix functions, Proceedings of Symposia in Pure Mathematics 51 (1990), 17-83.
(with J. A. Ball, I. Gohberg), Sensitivity minimization and bitangential nevanlinna-Pick interpolation in the contour integral form, IMA Volume 23(eds. F. A. Grunbaum, J. W. Helton, P. Khargonekar) (1990), 3 - 35.
(with J. A. Ball, I. Gohberg), Two-sided Nudelman interpolation problem for rational matrix functions, Analysis and Partial Differential Equations (ed. C. Sadosky), 371 - 416, Marcel Dekker, 1990.
(with J. A. Ball, I. Gohberg), Common minimal divisors and multiples for rational matrix functions, Linear Algebra and Applications 137-138 (1990), 621-662.
(with J. A. Ball, I. Gohberg), Simultaneous residue interpolation problems for rational matrix functions, Integral Equations and Operator Theory 13 (1990), 611-637.
(with D. Alpay, J. A. Ball, I. Gohberg), Realizations and factorizations of rational matrix functions with symmetries, Operator Theory: Advances and Applications 47 (1990), 1-60.
(with J. A. Ball, I. Gohberg), Boundary Nevanlinna-Pick interpolation for rational matrix functions, J. of Mathematical Systems Estimation and Control, 1 (1991), 131-164.
(with J. A. Ball, I. Gohberg), Nehari interpolation problem for rational matrix functions: the generic case, in: C. Foias et al., Ho - Control Theory (E. Mosca, L. Pandolfi, eds.), Lecture Notes in Mathematics, 1496 (1991), pp. 277-308, Springer-Verlag.
(with A. C. M. Ran), Laurent interpolation for rational matrix functions and a local factorization principle, J. of Math. Analysis and its Applications , 164 (1992), 524-541.
(with A. C. M. Ran), Generalized canonical factorization of matrix and operator functions with definite hermitian part, Integral Equations and Operator Theory, 15 (1992), 673-696.
(with D. Alpay, J. A. Ball, I. Gohberg), State space theory of automorphisms of rational matrix functions, Integral Equations and Operator Theory, 15 (1992), 349-377.
(with M. A. Kaashoek, A. C. M. Ran), Local minimal factorizations of rational matrix functions in terms of null pole data: formulas for factors, Integral Equations and Operator Theory 16 (1993), 98-130.
(with L. Lerer), Sylvester and Lyapunov equations and some interpolation problems for rational matrix functions, Linear Algebra and its Applications 185 (1993), 83-117.
(with J. A. Ball, J. Kim, M. Verma), Minimal degree coprime factorizations of rational matrix functions, Linear Algebra and its Applications, 186 (1993), 117-164.
(with J. A. Ball, I. Gohberg), The structure of flat gain rational matrices that satisfy two- sided interpolation requirements, Systems and Control Letters, 20 (1993), 401-412.
(with J. A. Ball, I. Gohberg), Two-sided tangential interpolation of real rational matrix functions, Operator Theory: Advances and Applications, 64 (1993), 73-102. Errata: Integral Equations and Operator Theory, 18 (1994), 495-497.
(with D. Alpay, J. A. Ball, I. Gohberg), J-unitary preserving automorphisms of rational matrix functions: state space theory, interpolation and factorization, Linear Algebra and its Applications, 197/198 (1994), 531-566.
(with D. Alpay, J. A. Ball, I. Gohberg), The two-sided residue interpolation in the Stieltjes class for matrix functions, Linear Algebra and its Applications, 208/209 (1994), 485- 522.
(with P. Lancaster), Minimal symmetric factorizations of symmetric real and complex rational matrix functions, Linear Algebra and its Applications, 220 (1995), 249 - 282.
(with L. Lerer), Common zero structure of rational matrix functions, Journal of Functional Analysis, 136(1996), 1 - 38.
(with L. Lerer), Symmetric factorizations and localization of zeroes of rational matrix functions, Linear and Multilinear Algebra, 40 (1996), 259 - 281.
(with L. Lerer), Bezoutians for rational matrix functions, Journal of Functional Analysis, 141 (1996), 1 - 36.
(with D. Alpay, V. Bolotnikov), Tangential interpolation with symmetries and two-points interpolation for matrix valued H-2-functions, Integral Equations and Operator Theory, 32 (1998), 1 - 28.
(with L. Lerer), Bezoutians of rational matrix functions, matrix equations and factorizations, Linear Algebra and its Applications, 302/303 (1999), 105 - 133.
(with A. C. M. Ran, D. Temme), Stability of pseudospectral factorizations, Operator Theory: Advances and Applications, (H. Bart, I. Gohberg, A. C. M. Ran, eds.) 122 (2001), 359 - 383.
EXPOSITORY AND SURVEY ARTICLES
(with J. A. Ball, I. Gohberg), Realization and interpolation of rational matrix functions, Operator Theory: Advances and Applications, 33 (1988), 1-72.
(with J. A. Ball, I. Gohberg), Tangential interpolation problems for rational matrix functions, Proceedings of Symposia in Applied Math. 40 (1990), pp. 59 - 86.
(with J. A. Ball, I. Gohberg), The state-space method in the study of interpolation by rational matrix functions, in: Mathematical System Theory (A. C. Antoulas, ed.), 1991, pp. 503-508.
(with J. A. Ball, I. Gohberg), Interpolation problems for rational matrix functions and systems theory, Proceedings of International Symposium on Mathematical Theory of Networks and Systems, 1992, pp. 3-12 (eds. H. Kimura, S. Kodama).
Matrix functions, Handbook of Algebra, Vol. 1 (M. Hazewinkel, ed.), 1996, pp. 117-154, Elsevier. Correction and Addition, Handbook of Algebra, Vol. 3 (2003), 63.
(with A. C. M. Ran), A class of robustness problems in matrix analysis, to appear in Operator Theory: Advances and Applications. 134 (2002), 337 - 389.
OTHER PUBLICATIONS
(with L. Lerer), Bezoutians and factorizations of rational matrix functions and matrix equations, Systems and Networks: Mathematical Theory and Applications (U. Helmke, R. Mennicken, J. Saurer, eds.), Akademie Verlag, 1994, pp. 761-766.
(with M. Rakowski), Divisibility in a class of rational matrix functions, Systems and Networks: Mathematical Theory and Applications (U. Helmke, R. Mennicken, J. Saurer, eds.), Akademie Verlag, 1994, pp. 829- 834.
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(with I. Gohberg, P. Lancaster), Matrices and Indefinite Scalar Products, Birkhauser Verlag, 1983, 372+xvii pp.
(with P. Lancaster), Algebraic Riccati Equations, Oxford University Press, 1995, 480 + xvii pp.
(with I. Gohberg, P. Lancaster), Indefinite Linear Algebra and Applications, Birkhauser Verlag, 2005.
REFEREED RESEARCH PAPERS
(with P. Lancaster), Existence and uniqueness theorems for the algebraic Riccati equation, International Journal of Control, 32 (1980), 285-309.
On extremal solutions of the algebraic Riccati equation, in: Algebraic and Geometric Methods in Linear Systems Theory, American Mathematical Society Lectures in Applied Mathematics, 18(1980), eds. C. I. Byrnes and C. F. Martin, 311-327.
Maximal invariant neutral subspaces and application to the algebraic Riccati equation, Manuscripta Matematica, 43 (1983), 1-12.
(with A. C. M. Ran), Stability of invariant maximal semidefinite subspaces, II. Applications: selfadjoint rational matrix functions, algebraic Riccati equation, Linear Algebra and Its Applications, 63 (1984), 133-173.
(with I. Gohberg, P. Lancaster), On hermitian solutions of the symmetric algebraic Riccati equation, SIAM Journal Control and Optim, 24 (1986), 1323-1334.
(with P. Lancaster, A. C. M. Ran), Hermitian solutions of the discrete algebraic Riccati equation, International Journal of Control, 44 (1986), 777-802.
(with P. Lancaster, A. C. M. Ran), An existence and comparison theorem for the discrete algebraic matrix Riccati equation, Linear and Multilinear Algebra, 20 (1987), 353-361.
(with A. C. M. Ran), On parameter dependence of the solution of algebraic Riccati equations, Mathematics of Control, Signals, and Systems, 1 (1988), 269-284.
(with A. Ben-Artzi, D. Djokovic), Totally isotropic subspaces for pairs of hermitian forms and applications to Riccati equations, Linear Algebra and its Applications, 159 (1991), 121-128.
(with A. C. M. Ran), Stable Hermitian solutions of discrete algebraic Riccati equations, Mathematics of Control, Systems and Signals, 5 (1992), 165-193.
(with A. C. M. Ran), Stable solutions of real algebraic matrix Riccati equations, SIAM Journal of Control, 30 (1992), 63-81.
Homogeneous Riccati equations vs quadratic inequalities, Systems and Control Letters, 26 (1995), 283 - 288.
Non-Hermitian solutions of algebraic Riccati equations, Canadian Journal of Mathematics, 49 (1997), 840 - 854.
Invariant subspaces of selfadjoint matrices in skew symmetric inner products, SIAM J. on Matrix Analysis, 26 (2005), 901 - 907.
EXPOSITORY AND SURVEY ARTICLES
(with A. C. M. Ran), The algebraic Riccati equation, in: Topics in Operator Theory, Systems and Networks, (eds. H. Dym, I. Gohberg), Operator Theory: Advances and Applications, 12(1985), 351-381, Birkhauser Verlag, Basel.
(with P. Lancaster), Solutions of the continuous and discrete-time algebraic Riccati equations: a review, in: The Riccati equation (S. Bittanti, A. J. Laub, J. C. Willems, eds.), Springer-Verlag, 1991, pp. 11-51.
(with A. C. M. Ran), A class of robustness problems in matrix analysis, Operator Theory: Advances and Applications, 134 (2002), 337 - 389.
OTHER PUBLICATIONS
(with A. C. M. Ran), Discrete algebraic Riccati equations: perturbations and stability of solutions, Proc. of IEEE International Symposium on Circuits and Systems, (1990), pp. 1197 - 1198.
(with A. C. M. Ran), Robust solutions of algebraic Riccati equations, Proc. of American Control Conference, (1990), 3058 - 3059.
(with A. C. M. Ran), Perturbation analysis of algebraic matrix Riccati equations, Proceedings of the 29th Control and Decision Conference, (1990), 1855-1856.
(with A.C.M. Ran), Rate of stability of hermitian solutions of algebraic Riccati equations, Proceedings of the 5th SIAM Conference on Applied Linear Algebra (J. G. Lewis, ed.), (1994), 3-6.
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(with C. R. Johnson), Convex sets of hermitian matrices with constant inertia, SIAM Journal of Algebraic and Discrete Methods, 6 (1985), 351-359.
(with C. S. Ballantine, S. Pierce), Simultaneous congruence of convex compact sets of hermitian matrices with constant rank, Linear Algebra and its Applications, 87 (1987), 49- 60.
(with J. Agler, J. W. Helton, S. McCullough), Positive semidefinite matrices with given sparsity pattern, Linear Algebra and its Applications, 107 (1988), 101-149.
(with J. W. Helton, S. Pierce), Ranks of extremal positive semidefinite matrices with given sparsity pattern, SIAM Journal on Matrix Analysis, 10(1989), 407-423.
(with C. K. Li), H-joint numerical ranges, Bulletin of the Australian Mathematical Society, 66 (2002), 105 - 117.
(with C. K. Li), Inverse closed ray-nonsingular convex cones of matrices, Linear Algebra and its Applications, 400 (2005), 203 - 230.
(with I. Lewkowicz and E. J. Yarkoni), Convex invertible sets and matrix sign function, Linear Algebra and its Applications, 396 (2005), 329 - 352.
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REFEREED RESEARCH PAPERS
(with J. W. Helton), Signature preserving linear maps of hermitian matrices, Linear and Multilinear Algebra, 17 (1985), 29-37.
(with S. Pierce), Linear preservers of the class of Hermitian matrices with balanced inertia, SIAM Journal of Matrix Analysis and Applications, 9 (1988), 461-472.
(with D. Z. Djokovic, C.-K. Li), Isometries of symmetric gauge functions, Linear and Multilinear Algebra, 30 (1991), 81-92.
(with C.-K. Li, N.-K. Tsing), Linear operators preserving certain equivalence relations originating in systems theory, Linear Algebra and its Applications, 161 (1992), 165-225.
(with C. R. Johnson, C.-K. Li, S. Pierce, I. Spitkovsky), Linear maps preserving regional eigenvalue location, Linear and Multilinear Algebra 32 (1992), 253-264.
(with C.-K. Li, P. P. Mehta), Linear operators preserving the inner and outer c-spectral radii, Linear and Multilinear Algebra, 36 (1994), 195-204.
(with D. Alpay, J. A. Ball, I. Gohberg), J-unitary preserving automorphisms of rational matrix functions: state space theory, interpolation and factorization, Linear Algebra and its Applications, 197/198 (1994), 531-566.
(with C.-K. Li, P. P. Mehta), A generalized numerical range: the range of a constrained sesquilinear form, Linear and Multilinear Algebra, 37 (1994), 25-49.
(with Y. Bolshakov, C. V. M. van der Mee, A. C. M. Ran, B. Reichstein), Extensions of isometries in finite dimensional indefinite scalar product spaces and polar decompositions, SIAM J. of Matrix Analysis and Applications, 18 (1997), 752 - 774.
(with A. A. Jafarian, P. Semrl), Linear maps preserving the isomorphism class of lattices of invariant subspaces, Proc. of Amer. Math. Soc., 126 (1998), 3607 - 3617.
(with P. Semrl), Linear preservers of minimal rank, Linear Algebra and its Applications, 310 (2000), 73 - 82.
(with N. Zobin), Linear preservers of isomorphism types of lattices of invariant operator ranges, Proc. of Amer. Math. Soc., 129 (2001), 2981 - 2986.
(with C. K. Li, P. Semrl), Linear transformations between matrix spaces that map one rank specific set into another, Linear Algebra and its Applications, 357 (2002), 197 - 208.
(with C. K. Li, P. Semrl), Linear maps on selfadjoint operators preserving invertibility, positive definiteness, numerical range, Canadian Mathematical Bulletin, 46 (2003), 216 - 228.
(with R. M. Guralnick, C. K. Li), Multiplicative maps on invertible matrices that preserve matricial properties, Electronic J. of Linear Algebra, 10 (2003), 291 - 319.
(with C. K. Li), Multiplicative preservers of $C$-numerical ranges and radii, Linear and Multilinear Algebra, 52 (2004), 265 - 279.
(with P. Semrl, A. R. Sourour), Continous adjacency preserving maps on real matrices, Canadian Mathematical Bulletin}, 48 (2005), 267 - 274.
(with P. Semrl), Orthogonality preserving bijective maps on real and complex projective spaces, submitted.
(with M. Mbekhta, P. Semrl), Linear maps preserving generalized invertibility, submitted.
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REFEREED RESEARCH PAPERS
(with C. R. Johnson), Completion of partial matrices to contractions, Journal of Functional Analysis, 69 (1986), 260-267.
(with C. R. Johnson), Completion of Toeplitz partial contractions, SIAM Journal on Matrix Analysis and its Applications, 9 (1988), 159-167.
(with C. R. Johnson), Chordal inheritance principles and positive definite completions of partial matrices over function rings, Operator Theory: Advances and Applications, 35 (1988), 107-127.
(with N. Cohen, C. R. Johnson, H. Woerdeman), Ranks of completions of partial matrices, Operator Theory: Advances and Applications. 40 (1989), 165 - 185.
(with J. A. Ball, I. Gohberg, T. Shalom), On the eigenvalues of matrices with given upper triangular part, Integral Equations and Operator Theory 13 (1990), 488-497.
(with V. I. Paulsen), Positive definite completions of matrices over C*-algebras, Journal of Operator Theory 25 (1991), 237-253.
(with T. Shalom), Jordan forms of completions of partial upper triangular matrices, Linear Algebra and its Applications, 168 (1992), 221-249.
(with L. Gurvits, T. Shalom), Controllability and completion of partial upper triangular matrices over rings, Linear Algebra and its Applications, 172 (1992), 135-149.
(with I. Gohberg, T. Shalom, H. J. Woerdeman), Bounds for eigenvalues and singular values of completions of partial triangular matrices, Linear and Multilinear Algebra, 33 (1993), 233-250.
(with L. Gurvits, T. Shalom), Controllability by completions of partial upper triangular matrices, Mathematics of Control, Signals and Systems, 6 (1993), 30-40.
(with M. Krupnik), Completions of partial Jordan and Hessenberg matrices, Linear Algebra and its Applications, 212-213 (1994), 267-287; Errata, linear Algebra and its Applications, 240 (1996), 235 - 236.
(with H. J. Woerdeman), Perturbations, singular values and ranks of partial triangular matrices, SIAM J. of Matrix Analysis and Applications, 16 (1995), 278-288.
(with M. Bakonyi, I. M. Spitkovsky, H. J. Woerdeman), Positive extensions of matrix functions of two variables with support in an infinite band, Comptes Rendues Acad. Sci. Paris, Serie I, 323 (1996), 859 - 863.
(with I. M. Spitkovsky, H. J. Woerdeman), Caratheodory - Toeplitz and Nehari problems for matrix valued almost periodic functions, Transactions of American Mathematical Society, 350 (1998), 2185 - 2227.
(with M. Bakonyi, I. M. Spitkovsky, H. J. Woerdeman), Positive matrix functions on the bitorus with prescribed coefficients in a band, Journal of Fourier Analysis and Applications, 5 (1999), 21 - 44.
(with M. I. Gekhtman), Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions, Linear Algebra and its Applications, 308 (2000), 1 - 29.
(with I. M. Spitkovsky, H. J. Woerdeman), Contractive extension problems for matrix valued almost periodic functions of several variables, Journal of Operator Theory, 47 (2002), 3 - 35.
(with V. Bolotnikov), Positive extension and completion problems for a class of structured matrices, Linear and Multilinear Algebra, 48 (2001), 189 - 235.
(with I. M. Spitkovsky, H. J. Woerdeman), Multiblock problems for almost periodic matrix functions of several variables, New York Journal of Mathematics, 7 (2001), 117 - 148.
(with I. M. Spitkovsky, H. J. Woerdeman), Contractive extension problems for matrix valued almost periodic functions of several variables, Journal of Operator Theory, 47 (2002), 3 - 35.
(with I. M. Spitkovsky, H. J. Woerdeman), Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation, Memoirs of Amer. Math. Soc., No. 762 (2002), 71 pp.
EXPOSITORY AND SURVEY ARTICLES
Completions of triangular matrices: A survey of results and open problems, to appear in: Structured Matrices in Mathematics, Computer Science, and Engineering: Part II, Contemporary Mathematics, (V. Olshevsky, ed.), (2001).
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REFEREED RESEARCH PAPERS
(with C.-K. Li, P. P. Mehta), A generalized numerical range: the range of a constrained sesquilinear form, Linear and Multilinear Algebra, 37 (1994), 25-49.
(with C.-K. Li), Numerical range of matrix polynomials, SIAM J. Matrix Analysis and Applications, 15 (1994), 1256 - 1265.
(with D. S. Keeler, I. M. Spitkovsky), The numerical range of 3 x 3 matrices, Linear Algebra and its Applications, 252 (1997), 115 - 139.
(with A. S. Markus), Some results on numerical ranges and factorizations of matrix polynomials, Linear and Multilinear Algebra, 42 (1997), 169 - 185.
(with C.-K. Li), Remarks on numerical ranges of operators in spaces with an indefinite metric, Proceedings of American Mathematical Society, 126 (1998), 973 - 982.
(with C.-K. Li), Shapes and computer generation of numerical ranges of Krein space operators, Electronic Journal of Linear Algebra, 2 (1998), 31 - 47..
(with V. Bolotnikov), Normal forms and joint numerical ranges of doubly commuting matrices, Linear Algebra and its Applications, 301 (1999), 187 - 194.
(with C. K. Li), H-joint numerical ranges, Bulletin of the Australian Mathematical Society, 66 (2002), 105 - 117.
(with C. K. Li, I. M. Spitkovsky), On numerical ranges and roots, J. of Mathematical Analysis and Applications, 282 (2003), 329 - 340.
(with I. M. Spitkovsky), 3 x 3 matrices with a flat portion on the boundary of the numerical range, Linear Algebra and its Applications}, 397 (2005), 193 - 207.
(with W. S. Cheung and C. K. Li), Operators with numerical range in a closed halfplane, submitted.
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BOOKS
An Introduction to Operator Polynomials, Birkhauser Verlag, 1989, 389 + xii pp.
REFEREED RESEARCH PAPERS
On exact controllability of operators, Rocky Mountain Journal of Mathematics. 20 (1990), 549-560.
(with L. Gurvits, I. Spitkovsky), Spectrum assignment for Hilbert space operators, Houston J. Math, 17 (1991), 501-523.
OTHER PUBLICATIONS
(with I. Spitkovsky), Spectrum assignment problems, Linear and Complex Analysis Problem Book 3, Part I (eds. V. Havin, N. K. Nikolskii), Lecture Notes 1574, Springer Verlag, 1994, pp. 223-225.
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BOOKS
(with I. Gohberg, P. Lancaster). Invariant Subspaces of Matrices with Applications, J. Wiley, 1986, 692+xv pp.
An Introduction to Operator Polynomials, Birkhauser Verlag, 1989, 389 + xii pp.
REFEREED RESEARCH PAPERS
(with A. C. M. Ran), Stability of neutral invariant subspaces in indefinite inner products and stable symmetric factorizations, Integral Equations and Operator Theory, 6 (1983), 536-571.
Maximal invariant neutral subspaces and application to the algebraic Riccati equation, Manuscripta Matematica, 43 (1983), 1-12.
(with A. C. M. Ran), Stability of invariant maximal semidefinite subspaces, I. Linear Algebra and Its Applications, 62 (1984), 51-86.
(with A. C. M. Ran), Stability of invariant maximal semidefinite subspaces, II. Applications: selfadjoint rational matrix functions, algebraic Riccati equation, Linear Algebra and Its Applications, 63 (1984), 133-173.
(with I. Gohberg), On distance between lattices of invariant subspaces of matrices, Linear Algebra and its Applications, 76 (1986), 85-120.
Stable invariant subspaces modulo a subspace, Operator Theory: Advances and Applications, (eds. H. Bart, I. Gohberg, M. A. Kaashoek), Birkhauser, 19 (1986), 399- 413.
(with A. C. M. Ran), Stable real invariant semidefinite subspaces and stable factorizations of symmetric rational matrix functions, Linear and Multilinear Algebra, 22 (1987), 25-55.
(with C-K. Fong, D. A. Herrero), Invariant subspaces lattices that complement every subspace, Illinois Journal of Mathematics, 32 (1988), 151-158.
(with A. C. M. Ran), Stability of invariant Lagrangian subspaces I, Operator Theory: Advances and Applications 32 (1988), 181-228.
(with A. C. M. Ran), Stability of invariant Lagrangian subspaces II. Operator Theory: Advanced and Applications, 40 (1989), 391-425.
(with A. C. M. Ran), On stability of invariant subspaces of matrices, American Mathematical Monthly, 97 (1990), 809-823.
(with A. C. M. Ran), Stable invariant lagrangian subspaces: factorization of symmetric rational matrix functions and other applications, Linear Algebra and Applications 137- 138 (1990), 575-620.
(with R. Bru, H. Schneider), Extensions of Jordan bases for invariant subspaces of a matrix, Linear Algebra and its Applications, 150 (1991), 209-226.
(with A. C. M. Ran, J. E. Rubin), Direct complements of invariant lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions, Linear Algebra and Its Applications, 180 (1993), 61-94.
(with A. C. M. Ran, A.L. Rubin), Stability index of invariant subspaces of matrices, Linear and Multilinear Algebra, 36 (1993), 27-40.
(with A. C. M. Ran), The rate of convergence of real invariant subspaces, Linear Algebra and its Applications, 207 (1994), 197-223.
(with P. Lancaster), Invariant neutral subspaces for symmetric and skew real matrix pairs. Canadian J. of Math, 46 (1994), 607-618.
(with N. Zobin), Linear preservers of isomorphism types of lattices of invariant operator ranges, Proc. of Amer. Math. Soc., 129 (2001), 2981 - 2986.
(with C. Mehl, A. C. M. Ran), Semidefinite invariant subspaces: degenerate inner products, Operator Theory: Advances and Applications, 149 (2004), 467 - 486.
(with C. Mehl and A. C. M. Ran), Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products, Electronic Journal of Linear Algebra, 11 (2004), 192 - 204.
Invariant subspaces of selfadjoint matrices in skew symmetric inner products, SIAM J. on Matrix Analysis, 26 (2005), 901 - 907.
(with C. Mehl and A. C. M. Ran), Invariant maximal positive subspaces and polar decompositions, to appear in Integral Equations and Operator Theory.
(with D. Alpay and A. C. M. Ran), Basic classes of matrices with respect to quaternionic indefinite inner product spaces, submitted.
EXPOSITORY AND SURVEY ARTICLES
(with A. C. M. Ran), A class of robustness problems in matrix analysis, Operator Theory: Advances and Applications, 134 (2002), 337 - 389.
Go back to the top of this page
BOOKS
(with I. Gohberg, P. Lancaster), Matrix Polynomials, Academic Press, 1982, 409+xivpp.
(with I. Gohberg, P. Lancaster), Matrices and Indefinite Scalar Products, Birkhauser Verlag, 1983, 372+xvii pp.
An Introduction to Operator Polynomials, Birkhauser Verlag, 1989, 389 + xii pp.
(with J. A. Ball, I. Gohberg), Interpolation of Rational Matrix Functions, Birkhauser Verlag,1990, 605 pp.
(with P. Lancaster), Algebraic Riccati Equations, Oxford University Press, 1995, 480 + xvii pp.
(with I. Gohberg, P. Lancaster), Indefinite Linear Algebra and Applications, Birkhauser Verlag, 2005.
REFEREED RESEARCH PAPERS
(with I. Gohberg, P. Lancaster), On selfadjoint matrix polynomials, Integral Equations and Operator Theory, 2/3 (1979), 434-439.
(with I. Gohberg, P. Lancaster), Spectral analysis of selfadjoint matrix polynomials, Annals of Mathematics, 112 (1980), 33-71.
(with P. Lancaster), Existence and uniqueness theorems for the algebraic Riccati equation, International Journal of Control, 32 (1980), 285-309.
On extremal solutions of the algebraic Riccati equation, in: Algebraic and Geometric Methods in Linear Systems Theory, American Mathematical Society Lectures in Applied Mathematics, 18 (1980), eds. C. I. Byrnes and C. F. Martin, 311-327.
On nonnegative invariant subspaces in indefinite scalar product spaces, Linear and Multilinear Algebra, 10 (1981), 1-14.
(with I. Gohberg, P. Lancaster), Factorization of selfadjoint matrix polynomials with constant signature, Linear and Multilinear Algebra, 11 (1982), 209-224.
(with I. Gohberg, P. Lancaster), Perturbations of H-selfadjoint matrices, with applications to differential equations, Integral Equations and Operator Theory, 5 (1982), 718-757.
(with A. C. M. Ran), Stability of neutral invariant subspaces in indefinite inner products and stable symmetric factorizations, Integral Equations and Operator Theory, 6 (1983), 536-571.
(with I. Gohberg, P. Lancaster), A sign characteristic for selfadjoint meromorphic matrix functions, Applicable Analysis, 16 (1983), 165-185.
Maximal invariant neutral subspaces and application to the algebraic Riccati equation, Manuscripta Matematica, 43 (1983), 1-12.
(with A. C. M. Ran), Stability of invariant maximal semidefinite subspaces, I. Linear Algebra and Its Applications, 62 (1984), 51-86.
(with A. C. M. Ran), Stability of invariant maximal semidefinite subspaces, II. Applications: selfadjoint rational matrix functions, algebraic Riccati equation, Linear Algebra and Its Applications, 63 (1984), 133-173.
(with A. C. M. Ran), Stability of solutions of the operator differential equation in transport theory, Integral Equations and Operator Theory, 8 (1985), 75-118.
(with I. Gohberg, P. Lancaster), On hermitian solutions of the symmetric algebraic Riccati equation, SIAM Journal Control and Optim, 24(1986), 1323-1334.
(with I. Gohberg, P. Lancaster), Quadratic matrix polynomials with a parameter, Advances in Applied Mathematics, 7(1986), 253-282.
(with P. Lancaster, A. C. M. Ran), Hermitian solutions of the discrete algebraic Riccati equation, International Journal of Control, 44(1986), 777-802.
(with P. Lancaster, A. C. M. Ran), An existence and comparison theorem for the discrete algebraic matrix Riccati equation, Linear and Multilinear Algebra, 20(1987), 353-361.
Structure of infinite dimensional stable canonical equations with periodic coefficients, Journal of Differential Equations, 68 (1987), 221-237.
(with A. C. M. Ran), Stable real invariant semidefinite subspaces and stable factorizations of symmetric rational matrix functions, Linear and Multilinear Algebra, 22(1987), 25-55.
(with A. C. M. Ran), A matricial boundary value problem which appears in the transport theory, Journal of Mathematics Analysis and Applications, 130(1988), 200-222.
(with A. C. M. Ran), On parameter dependence of the solution of algebraic Riccati equations, Mathematics of Control, Signals, and Systems, 1(1988), 269-284.
(with A. C. M. Ran), Stability of invariant Lagrangian subspaces I, Operator Theory: Advances and Applications 32(1988), 181-228.
(with A. C. M. Ran), Stability of invariant Lagrangian subspaces II. Operator Theory: Advanced and Applications, 40(1989), 391-425.
(with A. C. M. Ran), Semidefinite perturbations of analytic hermitian matrix functions, Integral Equations and Operator Theory 12(1989), 739 - 745.
On factorization of selfadjoint operator polynomials, Proceedings of Symposia in Pure Mathematics, 51 (1990), 295-306.
(with A. C. M. Ran), Stable invariant lagrangian subspaces: factorization of symmetric rational matrix functions and other applications, Linear Algebra and Applications 137- 138 (1990), 575-620.
(with A. Ben-Artzi, D. Djokovic), Totally isotropic subspaces for pairs of hermitian forms and applications to Riccati equations, Linear Algebra and its Applications, 159 (1991), 121-128.
(with A. C. M. Ran), On symmetric factorizations of rational matrix functions, Linear and Multilinear Algebra,, 29 (1991), 243-261.
(with A. C. M. Ran), Stable Hermitian solutions of discrete algebraic Riccati equations, Mathematics of Control, Systems and Signals, 5(1992), 165-193.
(with A. C. M. Ran), Stable solutions of real algebraic matrix Riccati equations, SIAM Journal of Control, 30 (1992), 63-81.
(with A. C. M. Ran, J. E. Rubin), Direct complements of invariant lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions, Linear Algebra and Its Applications, 180 (1993), 61-94.
(with D. Alpay, J. A. Ball, I. Gohberg), J-unitary preserving automorphisms of rational matrix functions: state space theory, interpolation and factorization, Linear Algebra and its Applications, 197/198 (1994), 531-566.
(with A. C. M. Ran), Factorization of matrix polynomials with symmetries, SIAM J. of Matrix Analysis and Applications, 15 (1994), 846-864.
(with C.-K. Li, P. P. Mehta), A generalized numerical range: the range of a constrained sesquilinear form, Linear and Multilinear Algebra, 37 (1994), 25-49.
(with P. Lancaster), Invariant neutral subspaces for symmetric and skew real matrix pairs. Canadian J. of Math, 46 (1994), 607-618.
(with D. Alpay, J. A. Ball, I. Gohberg), The two-sided residue interpolation in the Stieltjes class for matrix functions, Linear Algebra and its Applications, 208/209 (1994), 485- 522.
(with P. Lancaster), Minimal symmetric factorizations of symmetric real and complex rational matrix functions, Linear Algebra and its Applications, 220 (1995), 249 - 282.
Homogeneous Riccati equations vs quadratic inequalities, Systems and Control Letters, 26 (1995), 283 - 288.
(with Y. Bolshakov, C. V. M. van der Mee, A. C. M. Ran, B. Reichstein), Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications, Operator Theory: Advances and Applications, Vol 87 (eds. I. Gohberg, P. Lancaster, P. N. Shivakumar), 1996, pp. 61 - 94; Errata, Integral Equations and Operator Theory, 17 (1997), 497 - 501.
(with S. A. McCullough), Two-selfadjoint operators in Krein space, Integral Equations and Operator Theory, 26 (1996), 202 - 209.
Products of symmetric and skew-symmetric matrices, Linear and Multilinear Algebra, 43 (1997), 19 - 34.
(with Y. Bolshakov, C. V. M. van der Mee, A. C. M. Ran, B. Reichstein), Polar decompositions in finite dimensional indefinite scalar product spaces: General theory, Linear Algebra and its Applications, 261 (1997), 91 - 141.
(with Y. Bolshakov, C. V. M. van der Mee, A. C. M. Ran, B. Reichstein), Extensions of isometries in finite dimensional indefinite scalar product spaces and polar decompositions, SIAM J. of Matrix Analysis and Applications, 18 (1997), 752 - 774.
Non-Hermitian solutions of algebraic Riccati equations, Canadian Journal of Mathematics, 49 (1997), 840 - 854.
(with C.-K. Li), Remarks on numerical ranges of operators in spaces with an indefinite metric, Proceedings of American Mathematical Society, 126 (1998), 973 - 982.
(with C. V. M. van der Mee, A. C. M. Ran), Classes of plus matrices in indefinite scalar product spaces, Integral Equations and Operator Theory, 30 (1998), 432 - 451.
(with C.-K. Li), Shapes and computer generation of numerical ranges of Krein space operators, Electronic Journal of Linear Algebra, 2 (1998), 31 - 47.
(with S. A. McCullough), Normal generalized selfadjoint operators in Krein spaces, Linear Algebra and its Applications, 283 (1998), 239 - 245.
(with C. V. M. van der Mee, A. C. M. Ran), Stability of selfadjoint square roots and polar decompositions in indefinite scalar product spaces, Linear Algebra and its Applications, 302/303 (1999), 77 - 104.
Finite dimensional spaces with indefinite scalar products: Research problems, Obzornik za Matematiko in Fiziko, Ljubljana, 46(1999), 57 - 60.
(with C. V. M. van der Mee, A. C. M. Ran), Stability of stationary transport equations with accretive collision operators, J. of Functional Analysis, 174 (2000), 478 - 512.
(with A. C. M. Ran, D. Temme), Stability of pseudospectral factorizations, Operator Theory: Advances and Applications, (H. Bart, I. Gohberg, A. C. M. Ran, eds.) 122 (2001), 359 - 383.
(with C. V. M. van der Mee, A. C. M. Ran), Real Hamiltonian polar decompositions, SIAM J. of Matrix Analysis and Appl., 22 (2001), 1263 - 1273.
(with B. Lins, P. Meade, C. Mehl), Normal matrices and polar decompositions in indefinite inner products, Linear and Multilinear Algebra, 49 (2001), 45 - 89.
(with C. Mehl), Classes of normal matrices in indefinite inner products, Linear Algebra and its Applications, 336 (2001), 71 - 98.
(with C. V. M. van der Mee, A. C. M. Ran), Real Hamiltonian polar decompositions, SIAM J. of Matrix Analysis and Appl., 22 (2001), 1263 - 1273.
(with B. Lins, P. Meade, C. Mehl), Research problem: Indefinite inner product normal matrices, Linear and Multilinear Algebra, 49 (2001), 261 - 268.
(with C. V. M. van der Mee, A. C. M. Ran), Polar decompositions and related classes of operators in spaces $\Pi_{\kappa}$, Integral Equations and Operator Theory, 44 (2002), 50 - 70.
(with C. Mehl), Symmetric matrices with respect to sesquilinear forms, Linear Algebra and its Applications, 349 (2002), 55 - 75.
(with V. Bolotnikov, C. K. Li, P. R. Meade, C. Mehl), Shells of matrices in indefinite inner product spaces, Electronic J. of Linear Algebra, 9 (2002), 67 - 92.
(with C. Mehl, A. C. M. Ran), Semidefinite invariant subspaces: degenerate inner products, Operator Theory: Advances and Applications, 149 (2004), 467 - 486.
(with C. Mehl and A. C. M. Ran), Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products, Electronic Journal of Linear Algebra, 11 (2004), 192 - 204.
Invariant subspaces of selfadjoint matrices in skew symmetric inner products, SIAM J. on Matrix Analysis, 26 (2005), 901 - 907.
(with C. Mehl, A. C. M. Ran), Polar decompositions of normal operators in indefinite inner product spaces, to appear in Operator Theory: Advances and Applications.
(with C. Mehl and A. C. M. Ran), Invariant maximal positive subspaces and polar decompositions, to appear in Integral Equations and Operator Theory.
Similarity vs unitary similarity: Complex indefinite inner products, submitted.
(with P. Semrl), Orthogonality preserving bijective maps on real and complex projective spaces, submitted.
Similarity vs unitary similarity and perturbation analysis of sign characteristic: Real indefinite inner products, submitted.
(with D. Alpay and A. C. M. Ran), Basic classes of matrices with respect to quaternionic indefinite inner product spaces, submitted.
A note on indefinite Douglas' lemma, submitted.
EXPOSITORY AND SURVEY ARTICLES
(with A. C. M. Ran), The algebraic Riccati equation, in: Topics in Operator Theory, Systems and Networks, (eds. H. Dym, I. Gohberg), Operator Theory: Advances and Applications, 12(1985), 351-381, Birkhauser Verlag, Basel.
Hermitian matrix polynomials, in: Current Trends in Matrix Theory, (eds. F. Uhlig, R. Grone), (1987), 305-329, North-Holland.
Orthogonal matrix polynomials, in: Orthogonal Polynomials: Theory and Practice (ed. P. Nevai), NATO ASI Series, Kluwer Academic Publishers, (1990) pp. 345 - 362.
(with P. Lancaster), Solutions of the continuous and discrete-time algebraic Riccati equations: a review, in: The Riccati equation (S. Bittanti, A. J. Laub, J. C. Willems, eds.), Springer-Verlag, 1991, pp. 11-51.
(with A. C. M. Ran), A class of robustness problems in matrix analysis, Operator Theory: Advances and Applications, 134 (2002), 337 - 389.
(with Y. H. Au-Yeung, C. K. Li), H-unitary and Lorentz matrices: A review, SIAM J. of Matrix Analysis, 25 (2004), 1140 - 1162.
(with P. Lancaster), Canonical forms for hermitian matrix pairs under strict equivalence and congruence, accepted in SIAM Review.
(with P. Lancaster), Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence, to appear in Linear Algebra and its Applications.
OTHER PUBLICATIONS
(with I. Gohberg, P. Lancaster), Spectral analysis of selfadjoint matrix polynomials, Research Paper 419(1979) pp. 126., University of Calgary.
(with I. Gohberg, P. Lancaster), A sign characteristic for selfadjoint rational matrix functions, in: Mathematical Theory of Networks and Systems, ed. P. A. Fuhrmann, Lecture Notes in Control and Information Sciences, 58(1984) 363-369, Springer-Verlag, Berlin.
(with B. Lins, P. Meade, C. Mehl), Polar decompositions of indecomposable normal matrices in indefinite inner products: Explicit formulas and open problems. Preprint 2000-9, Fakultat fur Mathematik, Technische Universitat Chemnitz, Germany, August 2000, 26 pp.
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BOOKS
(with I. Gohberg, P. Lancaster), Matrix Polynomials, Academic Press, 1982, 409+xivpp.
An Introduction to Operator Polynomials, Birkhauser Verlag, 1989, 389 + xii pp.
REFEREED RRESEARCH PAPERS
(with I. Gohberg, M. A. Kaashoek), Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix, I. The finite dimensional case, in: Topics in Functional Analysis (eds. I. Gohberg and M. Kac), Academic Press (1978), 91-128.
(with I. Gohberg, M. A. Kaashoek), Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix, II. The infinite dimensional case, Journal of Functional Analysis, 30 (1978), 359-389.
(with I. Gohberg, M. A. Kaashoek, L. Lerer), Common multiples and common divisors of matrix polynomials, I. Spectral method, Indiana Journal of Math., 30 (1981), 321-356.
(with I. Gohberg, M. A. Kaashoek, L. Lerer), Common multiples and common divisors of matrix polynomials, II. Vandermonde and resultant, Linear and Multilinear Algebra, 12 (1982), 159-203.
(with L. Lerer, M. Tismenetsky), Bezoutian and Schur-Cohn problem for operator polynomials, Journal of Mathematical Analysis and Applications, 103 (1984), 83-102.
(with J. W. Helton), Vandermonde and resultant matrices: an abstract approach, Mathematical System Theory, 20 (1987), 169-192; correction, 21(1988), 61.
Bezout equation, Vandermonde operators, and common multiples of operator polynomials, Journal of Mathematical Analysis and Applications, 133 (1988), 68-78.
(with L. Lerer, M. Tismenetsky), Inertia theorems for matrix polynomials, Linear and Multilinear Algebra, 30 (1991), 157-182.
(with L. Lerer), Spectrum separation and inertia for operator polynomials, J. of Mathematical Analysis and its Applications. 169 (1992), 260-282.
(with L. Lerer), Inertia of operator polynomials and stability of differential equations, Journal of Math. Analysis and Appl. 192 (1995), 579 - 606.
(with L. Lerer), Common zero structure of rational matrix functions, Journal of Functional Analysis, 136 (1996), 1 - 38.
(with L. Lerer), Symmetric factorizations and localization of zeroes of rational matrix functions, Linear and Multilinear Algebra, 40 (1996), 259 - 281.
(with L. Lerer), Bezoutians for rational matrix functions, Journal of Functional Analysis, 141 (1996), 1 - 36.
(with L. Lerer), Bezoutians of rational matrix functions, matrix equations and factorizations, Linear Algebra and its Applications, 302/303 (1999), 105 - 133.
(with L. Lerer), Inertia bounds for operator polynomials, Operator Theory: Advances and Applications, 130 (2002), 255 - 276.
OTHER PUBLICATIONS
(with L. Lerer), Bezoutians and factorizations of rational matrix functions and matrix equations, Systems and Networks: Mathematical Theory and Applications (U. Helmke, R. Mennicken, J. Saurer, eds.), Akademie Verlag, 1994, pp. 761-766.
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BOOKS
(with J. A. Ball, I. Gohberg), Interpolation of Rational Matrix Functions, Birkhauser Verlag,1990, 605 pp.
(with P. Lancaster), Algebraic Riccati Equations, Oxford University Press, 1995, 480 + xvii pp.
REFEREED RESEARCH PAPERS
(with L. Lerer, M. Tismenetsky), Bezoutian and Schur-Cohn problem for operator polynomials, Journal of Mathematical Analysis and Applications, 103 (1984), 83-102.
(with L. Lerer, M. Tismenetsky), Inertia theorems for matrix polynomials, Linear and Multilinear Algebra, 30 (1991), 157-182.
(with L. Lerer), Spectrum separation and inertia for operator polynomials, J. of Mathematical Analysis and its Applications. 169 (1992), 260-282.
(with L. Lerer), Sylvester and Lyapunov equations and some interpolation problems for rational matrix functions, Linear Algebra and its Applications 185 (1993), 83-117.
(with L. Lerer), Inertia of operator polynomials and stability of differential equations, Journal of Math. Analysis and Appl. 192 (1995), 579 - 606.
(with L. Lerer), Symmetric factorizations and localization of zeroes of rational matrix functions, Linear and Multilinear Algebra, 40 (1996), 259 - 281.
(with L. Lerer), Bezoutians for rational matrix functions, Journal of Functional Analysis, 141 (1996), 1 - 36.
(with L. Lerer), Inertia theorems for Hilbert space operators based on Lyapunov and Stein equations, Mathematische Nachrichten, 198 (1999), 131 - 148.
(with L. Lerer), Inertia theorems for Hilbert space operators based on Lyapunov and Stein equations, Mathematische Nachrichten, 198 (1999), 131 - 148.
(with L. Lerer), Bezoutians of rational matrix functions, matrix equations and factorizations, Linear Algebra and its Applications, 302/303 (1999), 105 - 133.
(with L. Lerer), Inertia bounds for operator polynomials, Operator Theory: Advances and Applications, 130 (2002), 255 - 276.
(with L. Gurvits), On matrix polynomials with real roots, SIAM J. on Matrix Analysis and Applications, 26 (2005), 758 - 764.
OTHER PUBLICATIONS
(with L. Lerer), Bezoutians and factorizations of rational matrix functions and matrix equations, Systems and Networks: Mathematical Theory and Applications (U. Helmke, R. Mennicken, J. Saurer, eds.), Akademie Verlag, 1994, pp. 761-766.
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(with I. Gohberg, P. Lancaster), Matrix Polynomials, Academic Press, 1982, 409+xivpp.
(with I. Gohberg, P. Lancaster), Matrices and Indefinite Scalar Products, Birkhauser Verlag, 1983, 372+xvii pp.
An Introduction to Operator Polynomials, Birkhauser Verlag, 1989, 389 + xii pp.
(with I. Gohberg, P. Lancaster), Indefinite Linear Algebra and Applications, Birkhauser Verlag, 2005.
REFEREED RESEARCH PAPERS
(with I. Gohberg, M. A. Kaashoek, L. Lerer), Common multiples and common divisors of matrix polynomials, I. Spectral method, Indiana Journal of Math., 30 (1981), 321-356.
(with I. Gohberg, P. Lancaster), Perturbations of H-selfadjoint matrices, with applications to differential equations, Integral Equations and Operator Theory, 5 (1982), 718-757.
(with A. C. M. Ran), Stability of solutions of the operator differential equation in transport theory, Integral Equations and Operator Theory, 8 (1985), 75-118.
(with I. Gohberg, P. Lancaster), Quadratic matrix polynomials with a parameter, Advances in Applied Mathematics, 7 (1986), 253-282.
Structure of infinite dimensional stable canonical equations with periodic coefficients, Journal of Differential Equations, 68 (1987), 221-237.
(with A. C. M. Ran), A matricial boundary value problem which appears in the transport theory, Journal of Mathematics Analysis and Applications, 130 (1988), 200-222.
(with L. Lerer), Inertia of operator polynomials and stability of differential equations, Journal of Math. Analysis and Appl. 192 (1995), 579 - 606.
(with N. Cohen, I. Lewkowicz), Exponential stability of triangular differential inclusion systems, Systems and Control Letters, 30 (1997), 159 - 164.
(with C. V. M. van der Mee, A. C. M. Ran), Stability of stationary transport equations with accretive collision operators, J. of Functional Analysis, 174 (2000), 478 - 512.
(with A. Pankov), Spectra of periodic operator polynomials with finitely many diagonals, Journal of Mathematical Analysis and Applications, 309 (2005), 167 - 175.
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BOOKS
(with I. Gohberg, P, Lancaster), Invariant Subspaces of Matrices with Applications, J. Wiley, 1986, 692+xv pp.
(with J. A. Ball, I. Gohberg), Interpolation of Rational Matrix Functions, Birkhauser Verlag,1990, 605 pp.
(with P. Lancaster), Algebraic Riccati Equations, Oxford University Press, 1995, 480 + xvii pp.
REFEREED RESEARCH PAPERS
(with P. Lancaster), Existence and uniqueness theorems for the algebraic Riccati equation, International Journal of Control, 32 (1980), 285-309.
On extremal solutions of the algebraic Riccati equation, in: Algebraic and Geometric Methods in Linear Systems Theory, American Mathematical Society Lectures in Applied Mathematics, 18 (1980), eds. C. I. Byrnes and C. F. Martin, 311-327.
(with P. Lancaster, A. C. M. Ran), An existence and comparison theorem for the discrete algebraic matrix Riccati equation, Linear and Multilinear Algebra, 20 (1987), 353-361.
(with J. W. Helton), Vandermonde and resultant matrices: an abstract approach, Mathematical System Theory, 20 (1987), 169-192; correction, 21(1988), 61.
(with A. C. M. Ran), On parameter dependence of the solution of algebraic Riccati equations, Mathematics of Control, Signals, and Systems, 1 (1988), 269-284.
(with J. A. Ball, I. Gohberg), Sensitivity minimization and bitangential nevanlinna-Pick interpolation in the contour integral form, IMA Volume 23(eds. F. A. Grunbaum, J. W. Helton, P. Khargonekar) (1990), 3 - 35.
(with R. Curtain), Infinite dimensional algebraic Riccati equations: comparison theorems, Systems and Control Letters, 153 (1990), 154-159.
(with J. A. Ball, I. Gohberg), Boundary Nevanlinna-Pick interpolation for rational matrix functions, J. of Mathematical Systems Estimation and Control, 1 (1991), 131-164.
(with J. A. Ball, I. Gohberg), Nehari interpolation problem for rational matrix functions: the generic case, in: C. Foias et al., Ho - Control Theory (E. Mosca, L. Pandolfi, eds.), Lecture Notes in Mathematics, 1496 (1991), pp. 277-308, Springer-Verlag.
(with A. C. M. Ran), Stable Hermitian solutions of discrete algebraic Riccati equations, Mathematics of Control, Systems and Signals, 5 (1992), 165-193.
(with C.-K. Li, N-K. Tsing), Linear operators preserving certain equivalence relations originating in systems theory, Linear Algebra and its Applications, 161 (1992), 165-225.
(with A. C. M. Ran), Stable solutions of real algebraic matrix Riccati equations, SIAM Journal of Control, 30 (1992), 63-81.
(with L. Gurvits, T. Shalom), Controllability and completion of partial upper triangular matrices over rings, Linear Algebra and its Applications, 172 (1992), 135-149.
(with D. Alpay, J. A. Ball, I. Gohberg), State space theory of automorphisms of rational matrix functions, Integral Equations and Operator Theory, 15 (1992), 349-377.
Pole shifting for matrices over real algebras, Systems and Control Letters, 19 (1992), 475- 480.
(with M. A. Kaashoek, A. C. M. Ran), Local minimal factorizations of rational matrix functions in terms of null pole data: formulas for factors, Integral Equations and Operator Theory 16 (1993), 98-130.
(with L. Gurvits, T. Shalom), Controllability by completions of partial upper triangular matrices, Mathematics of Control, Signals and Systems, 6 (1993), 30-40.
(with J. A. Ball, J. Kim, M. Verma), Minimal degree coprime factorizations of rational matrix functions, Linear Algebra and its Applications, 186 (1993), 117-164.
(with J. A. Ball, I. Gohberg), The structure of flat gain rational matrices that satisfy two- sided interpolation requirements, Systems and Control Letters, 20 (1993), 401-412.
(with D. Alpay, J. A. Ball, I. Gohberg), J-unitary preserving automorphisms of rational matrix functions: state space theory, interpolation and factorization, Linear Algebra and its Applications, 197/198 (1994), 531-566.
(with L. Lerer), Common zero structure of rational matrix functions, Journal of Functional Analysis, 136 (1996), 1 - 38.
Homogeneous Riccati equations vs quadratic inequalities, Systems and Control Letters, 26 (1995), 283 - 288.
(with I. Y. Bar-Itzhack, D. Hershkowitz), Pointing in real euclidean space, Journal of Guidance, Control, and Dynamics, 20 (1997), 916 - 922.
(with N. Cohen, I. Lewkowicz), Exponential stability of triangular differential inclusion systems, Systems and Control Letters, 30 (1997), 159 - 164.
EXPOSITORY AND SURVEY ARTICLES
(with A. C. M. Ran), The algebraic Riccati equation, in: Topics in Operator Theory, Systems and Networks, (eds. H. Dym, I. Gohberg), Operator Theory: Advances and Applications, 12 (1985), 351-381, Birkhauser Verlag, Basel.
(with J. A. Ball, I. Gohberg), Realization and interpolation of rational matrix functions, Operator Theory: Advances and Applications, 33 (1988), 1-72.
(with J. A. Ball, I. Gohberg), Tangential interpolation problems for rational matrix functions, Proceedings of Symposia in Applied Math. 40 (1990), pp. 59 - 86.
(with P. Lancaster), Solutions of the continuous and discrete-time algebraic Riccati equations: a review, in: The Riccati equation (S. Bittanti, A. J. Laub, J. C. Willems, eds.), Springer-Verlag, 1991, pp. 11-51.
(with J. A. Ball, I. Gohberg), The state-space method in the study of interpolation by rational matrix functions, in: Mathematical System Theory (A. C. Antoulas, ed.), 1991, pp. 503-508.
(with J. A. Ball, I. Gohberg), Interpolation problems for rational matrix functions and systems theory, Proceedings of International Symposium on Mathematical Theory of Networks and Systems, 1992, pp. 3-12 (eds. H. Kimura, S. Kodama).
Matrix functions, Handbook of Algebra, Vol. 1 (M. Hazewinkel, ed.), 1996, pp. 117-154, Elsevier; Correction and Addition, Handbook of Algebra, Vol. 3 (2003), 63.
OTHER PUBLICATIONS
(with I. Gohberg, P. Lancaster), A sign characteristic for selfadjoint rational matrix functions, in: Mathematical Theory of Networks and Systems, ed. P. A. Fuhrmann, Lecture Notes in Control and Information Sciences, 58 (1984) 363-369, Springer-Verlag, Berlin.
(with J. A. Ball, N. Cohen), On interpolation problems for rectangular matrix polynomials, Proceedings of 27th Conference on Decision and Control, Austin, Texas, USA, 1988, pp. 1370 - 1372.
(with A. C. M. Ran), Discrete algebraic Riccati equations: perturbations and stability of solutions, Proc. of IEEE International Symposium on Circuits and Systems, (1990), pp. 1197 - 1198.
(with A. C. M. Ran), Robust solutions of algebraic Riccati equations, Proc. of American Control Conference, (1990), 3058 - 3059.
(with A. C. M. Ran), Perturbation analysis of algebraic matrix Riccati equations, Proceedings of the 29th Control and Decision Conference, (1990), 1855-1856.
(with L. Lerer), Bezoutians and factorizations of rational matrix functions and matrix equations, Systems and Networks: Mathematical Theory and Applications (U. Helmke, R. Mennicken, J. Saurer, eds.), Akademie Verlag, 1994, pp. 761-766.
(with M. Rakowski), Divisibility in a class of rational matrix functions, Systems and Networks: Mathematical Theory and Applications (U. Helmke, R. Mennicken, J. Saurer, eds.), Akademie Verlag, 1994, pp. 829- 834.
(with A. C. M. Ran), Rate of stability of hermitian solutions of algebraic Riccati equations, Proceedings of the 5th SIAM Conference on Applied Linear Algebra (J. G. Lewis, ed.), (1994), 3-6.
(with I. Y. Bar-Itzhack, D. Hershkowitz), Pointing, Proceedings of 35th IEEE Conference on Decision and Control, (1996), 3134 - 3144, Kobe, Japan.
(with A. C. M. Ran), Rate of stability of symmetric factorizations, Proc. of European Control Conference, (1997), 2 pp., Brussels, Belgium.
State space methods for tangential interpolation problems, Proc. of 36th Conference on Decision and Control, (1997), San Diego, California, pp. 4420 - 4424.
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REFEREED RESEARCH PAPERS
(with M. Bakonyi, I. M. Spitkovsky, H. J. Woerdeman), Positive extensions of matrix functions of two variables with support in an infinite band, Comptes Rendues Acad. Sci. Paris, Serie I, 323 (1996), 859 - 863.
(with I. M. Spitkovsky, H. J. Woerdeman), Caratheodory - Toeplitz and Nehari problems for matrix valued almost periodic functions, Transactions of American Mathematical Society, 350 (1998), 2185 - 2227.
(with D. Quint, I. M. Spitkovsky), New cases of almost periodic factorization of triangular matrix functions, Michigan Journal of Mathematics, 45 (1998), 73 - 102.
(with I. M. Spitkovsky), Almost periodic factorization and corona theorem, Indiana University Mathematics Journal, 47 (1998), 1243 - 1256.
(with J. A. Ball, Yu. Karlovich, I. M. Spitkovsky), Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions, Integral Equations and Operator Theory, 32 (1998), 243 - 281.
(with M. Bakonyi, I. M. Spitkovsky, H. J. Woerdeman), Positive matrix functions on the bitorus with prescribed coefficients in a band, Journal of Fourier Analysis and Applications, 5 (1999), 21 - 44.
(with I. M. Spitkovsky, H. J. Woerdeman), Factorization of almost periodic matrix functions of several variables and Toeplitz operators, Operator Theory: Advances and Applications, 122 (2001), (H. Bart, I. Gohberg, A. C. M. Ran, eds.), 385 - 416.
(with I. M. Spitkovsky, H. J. Woerdeman), Multiblock problems for almost periodic matrix functions of several variables, New York Journal of Mathematics, 7 (2001), 117 - 148.
(with I. M. Spitkovsky, H. J. Woerdeman), Contractive extension problems for matrix valued almost periodic functions of several variables, Journal of Operator Theory, 47 (2002), 3 - 35.
(with I. M. Spitkovsky, H. J. Woerdeman), Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols, Proceedings of Amer. Math. Soc., 130 (2002), 1365 - 1370.
(with I. M. Spitkovsky, H. J. Woerdeman), Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation, Memoirs of Amer. Math. Soc., No. 762 (2002), 71 pp.
(with J. A. Ball, I. M. Spitkovsky), Toeplitz corona problem for algebras of almost periodic functions, Operator Theory: Advances and Applications, 135 (2002), 25 - 37.
with I. M. Spitkovsky, H. J. Woerdeman), Noncanonical factorizations of almost periodic multivariable matrix functions, Operator Theory: Advances and Applications, 142 (2003), 311 - 344.
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BOOKS
(with J. A. Ball, I. Gohberg), Interpolation of Rational Matrix Functions, Birkhauser Verlag, 1990, 605 pp.
REFEREED RESEARCH PAPERS
(with J. A. Ball, I. Gohberg), Two-sided Lagrange-Sylvester interpolation problems for rational matrix functions, Proceedings of Symposia in Pure Mathematics 51 (1990), 17-83.
(with J. A. Ball, I. Gohberg), Sensitivity minimization and bitangential nevanlinna-Pick interpolation in the contour integral form, IMA Volume 23(eds. F. A. Grunbaum, J. W. Helton, P. Khargonekar) (1990), 3 - 35.
(with J. A. Ball, I. Gohberg), Two-sided Nudelman interpolation problem for rational matrix functions, Analysis and Partial Differential Equations (ed. C. Sadosky), 371 - 416, Marcel Dekker, 1990.
(with J. A. Ball, I. Gohberg), Simultaneous residue interpolation problems for rational matrix functions, Integral Equations and Operator Theory 13 (1990), 611-637.
(with J. A. Ball, N. Cohen), Zero data and interpolation problems for rectangular matrix polynomials, Linear and Multilinear Algebra, 29 (1991), 53-78.
(with J. A. Ball, I. Gohberg), Boundary Nevanlinna-Pick interpolation for rational matrix functions, J. of Mathematical Systems Estimation and Control, 1 (1991), 131-164.
(with J. A. Ball, I. Gohberg), Nehari interpolation problem for rational matrix functions: the generic case, in: C. Foias et al., Ho - Control Theory (E. Mosca, L. Pandolfi, eds.), Lecture Notes in Mathematics, 1496 (1991), pp. 277-308, Springer-Verlag.
(with A. C. M. Ran), Laurent interpolation for rational matrix functions and a local factorization principle, J. of Math. Analysis and its Applications , 164 (1992), 524-541.
(with J. A. Ball, I. Gohberg), The structure of flat gain rational matrices that satisfy two- sided interpolation requirements, Systems and Control Letters, 20 (1993), 401-412.
(with J. A. Ball, I. Gohberg), Two-sided tangential interpolation of real rational matrix functions, Operator Theory: Advances and Applications, 64 (1993), 73-102. Errata: Integral Equations and Operator Theory, 18 (1994), 495-497.
(with D. Alpay, J. A. Ball, I. Gohberg), J-unitary preserving automorphisms of rational matrix functions: state space theory, interpolation and factorization, Linear Algebra and its Applications, 197/198 (1994), 531-566.
(with D. Alpay, J.A. Ball, I. Gohberg), The two-sided residue interpolation in the Stieltjes class for matrix functions, Linear Algebra and its Applications, 208/209 (1994), 485- 522.
(with M. Rakowski), Interpolation and divisibility of meromorphic matrix functions, J. of Math. Analysis and Applications, 199 (1996), 592 - 619.
(with D. Alpay, V. Bolotnikov), Tangential interpolation with symmetries and two-points interpolation for matrix valued H-2-functions, Integral Equations and Operator Theory, 32 (1998), 1 - 28.
(with J. A. Ball, Yu. Karlovich, I. M. Spitkovsky), Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions, Integral Equations and Operator Theory, 32 (1998), 243 - 281.
(with D. Alpay, V. Bolotnikov), One-sided tangential interpolation for operator-valued Hardy functions on polydisks, Integral Equations and Operator Theory, 35 (1999), 253 - 270.
(with I. M. Spitkovsky, H. J. Woerdeman), Caratheodory - Toeplitz and Nehari problems for matrix valued almost periodic functions, Transactions of American Mathematical Society, 350 (1998), 2185 - 2227.
(with D. Alpay, V. Bolotnikov), Two--sided tangential interpolation for Hilbert--Schmidt operator functions on polydisks, Operator Theory: Advances and Applications, 124 (2001), 21 - 62.
(with I. M. Spitkovsky, H. J. Woerdeman), Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation, Memoirs of Amer. Math. Soc., No. 762 (2002), 71 pp.
(with D. Alpay, V. Bolotnikov), Two--sided residue interpolation in matrix H_2 spaces with symmetries: Conformal conjugate involutions, Linear Algebra and its Applications, 351/352 (2002), 27 - 68.
(with V. Bolotnikov, A. Kheifets), Functions with Pick matrices having bounded number of negative eigenvalues, Contemporary Mathematics, 323 (2003), 393 - 417.
(with V. Bolotnikov, A. Kheifets), Pairs of functions with indefinite Pick matrices, Linear Algebra and its Applications, 367 (2003), 271 - 290.
(with V. Bolotnikov), Remarks on interpolation in reproducing kernel Hilbert spaces, Houston Journal of Mathematics, 30 (2004), 559 - 576.
(with V. Bolotnikov, A. Kheifets), Nevanlinna - Pick interpolation: Pick matrices have bounded number of negative eigenvalues, Proc. of Amer. Math. Soc., 132 (2004), 769 - 780.
(with V. Bolotnikov, A. Kheifets), Operator valued jet functions with positive Caratheodory--Pick operators, Integral Equations and Operator Theory, 50 (2004), 291 - 304.
(with V. Bolotnikov, A. Kheifets), Jet functions having indefinite Caratheodory--Pick matrices, Linear Algebra and its Applications, 385 (2004), 215 - 286.
(with M. C. B. Reurings), One-sided tangential interpolation for Hilbert-Schmidt operator functions with symmetries in the bidisk, Operator Theory: Advances and Applications, 157 (2005), 277 - 311.
EXPOSITORY AND SURVEY ARTICLES
(with J. A. Ball, I. Gohberg), Realization and interpolation of rational matrix functions, Operator Theory: Advances and Applications, 33 (1988), 1-72.
(with J. A. Ball, I. Gohberg), Tangential interpolation problems for rational matrix functions, Proceedings of Symposia in Applied Math. 40 (1990), pp. 59 - 86.
(with J. A. Ball, I. Gohberg), The state-space method in the study of interpolation by rational matrix functions, in: Mathematical System Theory (A. C. Antoulas, ed.), 1991, pp. 503-508.
(with J. A. Ball, I. Gohberg), Interpolation problems for rational matrix functions and systems theory, Proceedings of International Symposium on Mathematical Theory of Networks and Systems, 1992, pp. 3-12 (eds. H. Kimura, S. Kodama).
OTHER PUBLICATIONS
(with J. A. Ball, N. Cohen), On interpolation problems for rectangular matrix polynomials, Proceedings of 27th Conference on Decision and Control, Austin, Texas, USA, 1988, pp. 1370 - 1372.
(with J. A. Ball, N. Cohen, M. Rakowski), Spectral data and minimal divisibility of rectangular meromorphic matrix functions, Technical Report 91.04, The College of William and Mary, 1991.
State space methods for tangential interpolation problems, Proc. of 36th Conference on Decision and Control, (1997), San Diego, California, pp. 4420 - 4424.
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REFEREED RESEARCH PAPERS
(with V. Bolotnikov), Finite dimensional backward shift invariant subspaces of Arveson spaces, Linear Algebra and its Applications, 349 (2002), 265 - 282.
(with V. Bolotnikov), Remarks on interpolation in reproducing kernel Hilbert spaces, Houston Journal of Mathematics, 30 (2004), 559 - 576.
(with V. Bolotnikov), Finite dimensional backward shift invariant subspaces of a class of reproducing kernel Hilbert spaces, Linear and Multilinear Algebra, 52 (2004), 321 - 334.
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REFEREED RESEARCH PAPERS
(with C. V. M. van der Mee, I. M. Spitkovsky, H. J. Woerdeman), Factorization of block triangular matrix functions in Wiener algebras on ordered abelian groups, Operator Theory: Advances and Applications, 149 (2004), 441 - 465.
(with C. M. V. van der Mee, I. M. Spitkovsky), Factorization of block triangular matrix functions with off-diagonal binomials, Operator Theory: Advances and Applications, 160 (2005), 423 - 437.
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REFEREED RESEARCH PAPERS
(with C. R. Johnson), Completion of partial matrices to contractions, Journal of Functional Analysis, 69 (1986), 260-267.
(with J. Agler, J. W. Helton, S. McCullough), Positive semidefinite matrices with given sparsity pattern, Linear Algebra and its Applications, 107 (1988), 101-149.
(with C. R. Johnson), Chordal inheritance principles and positive definite completions of partial matrices over function rings, Operator Theory: Advances and Applications, 35 (1988), 107-127.
(with J. W. Helton, S. Pierce), Ranks of extremal positive semidefinite matrices with given sparsity pattern, SIAM Journal on Matrix Analysis, 10 (1989), 407-423.
(with N. Cohen, C. R. Johnson, H. Woerdeman), Ranks of completions of partial matrices, Operator Theory: Advances and Applications, 40 (1989), 165 - 185.
(with C.-K. Li, J. S.-J. Lin) Determinants of certain classes of zero-one matrices with equal line sums, Rocky Mountain J. of Mathematics, 29 (1999), 1363 - 1385.
(with C. K. Li), Inverse closed ray-nonsingular convex cones of matrices, Linear Algebra and its Applications, 400 (2005), 203 - 230.
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BOOKS
(with I. Gohberg, P. Lancaster), Matrix Polynomials, Academic Press, 1982, 409+xivpp.
(with I. Gohberg, P. Lancaster), Matrices and Indefinite Scalar Products, Birkhauser Verlag, 1983, 372+xvii pp.
(with I. Gohberg, P, Lancaster), Invariant Subspaces of Matrices with Applications, J. Wiley, 1986, 692+xv pp.
An Introduction to Operator Polynomials, Birkhauser Verlag, 1989, 389 + xii pp.
(with J. A. Ball, I. Gohberg), Interpolation of Rational Matrix Functions, Birkhauser Verlag, 1990, 605 pp.
(with P. Lancaster), Algebraic Riccati Equations, Oxford University Press, 1995, 480 + xvii pp.
(with I. Gohberg, P. Lancaster), Indefinite Linear Algebra and Applications, Birkhauser Verlag, 2005.
REFEREED RESEARCH PAPERS
On the many-armed bandit problem, Annals of Probability, 6 (1978), 491-498.
Remark on irreducible factorizations of polynomials in several variables, Canadian Mathematical Bulletin, 2 (1981), 493-496.
On global geometric properties of the set of subspaces in Hilbert space, Journal of Functional Analysis, 45 (1982), 226-235.
(with D. A. Herrero), The multicyclic n-triples of an n-multicyclic operator, and the analytic structures on its spectrum, Indiana Journal of Mathematics, 34 (1985), 619-629.
(with C. S. Ballantine, S. Pierce), Simultaneous congruence of convex compact sets of hermitian matrices with constant rank, Linear Algebra and its Applications, 87 (1987), 49- 60.
(with S. Pierce), Congruences and norms of hermitian matrices, Canadian Mathematical Journal, XXXIX (1987), 1446-1458.
(with C.-K. Fong, D. A. Herrero), Invariant subspaces lattices that complement every subspace, Illinois Journal of Mathematics, 32 (1988), 151-158.
On exact controllability of operators, Rocky Mountain Journal of Mathematics. 20 (1990), 549-560.
(with C. K. Li), Some extremal problems for positive matrices and operators, Linear Algebra and Applications, 140 (1990), 139-154.
(with P. Nylen), Approximation numbers and Yamamoto's theorem in Banach algebras, Integral Equations and Operator Theory. 13 (1990), 728-749.
(with R. Curtain), Infinite dimensional algebraic Riccati equations: comparison theorems, Systems and Control Letters, 153 (1990), 154-159.
(with S. Pierce), On simultaneous congruence of Hermitian matrices, SIAM J. of Matrix Analysis and Appl., 12 (1991), 70-83.
(with V. I. Paulsen), Positive definite completions of matrices over C*-algebras, Journal of Operator Theory 25 (1991), 237-253.
(with R. Bru, H. Schneider), Extensions of Jordan bases for invariant subspaces of a matrix, Linear Algebra and its Applications, 150 (1991), 209-226.
(with T. Shalom), On inversion of symmetric Toeplitz matrices, SIAM J. Matrix Analysis and Application, 13 (1992), 530-549.
(with S. Pierce), Lipschitz properties of some actions of matrix groups, Linear Algebra and its Applications, 208/209 (1994), 135-174.
Products of symmetric and skew-symmetric matrices, Linear and Multilinear Algebra, 43 (1997), 19 - 34.
(with L. Gurvits), Convergence of polynomially bounded semigroups of matrices, SIAM Journal of Matrix Analysis and Applications, 18 (1997), 360 - 368.
(with L. Gurvits), Positivity and strict contractivity of functions of operators, Integral Equations and Operator Theory, 28 (1997), 17 - 27.
(with C.-K. Li, J. S.-J. Lin) Determinants of certain classes of zero-one matrices with equal line sums, Rocky Mountain J. of Mathematics, 29 (1999), 1363 - 1385.
(with A. L. Cohen, D. P. Stanford), Pointwise and uniform convergence of sets of matrices, SIAM J. Matrix Analysis and Applications, 21 (1999), 93 - 105. Erratum, SIAM J. Matrix Analysis and Applications, 22 (2000), 971.
(with C. V. M. van der Mee, A. C. M. Ran), Stability of polar decompositions, Glasnik Matematicki, 35 (2000), 137 - 148.
(with V. Bolotnikov, C.-K. Li), Minimal distortion problems for classes of unitary matrices, Electronic Journal of Linear Algebra, 8 (2001), 26 - 46.
(with S. Pierce), Research problem: Lipschitz properties of matrix group actions, Linear and Multilinear Algebra, 52 (2004), 461 - 466.
(with A. C. M. Ran and M. C. B. Reurings), A perturbation operator equations, submitted.
EXPOSITORY AND SURVEY ARTICLES
Orthogonal matrix polynomials, in: Orthogonal Polynomials: Theory and Practice (ed. P. Nevai), NATO ASI Series, Kluwer Academic Publishers, (1990) pp. 345 - 362.
(with S. A. McCullough), Hereditary classes of operators and matrices, American Mathematical Monthly, 104 (1997), 415 - 430.
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