List of my publications is provided (last updated August 2005). The list is arranged by category, and the research papers are also arranged by the years of publication. Use the following menu.
1. (with I. Gohberg, P. Lancaster). Matrix Polynomials, Academic Press, 1982, 409+xivpp.
2. (with I. Gohberg, P. Lancaster). Matrices and Indefinite Scalar Products, Birkhauser Verlag, 1983, 372+xvii pp.
3. (with I. Gohberg, P, Lancaster). Invariant Subspaces of Matrices with Applications, J. Wiley, 1986, 692+xv pp.
4. An Introduction to Operator Polynomials, Birkhauser Verlag, 1989, 389 + xii pp.
5. (with J. A. Ball, I. Gohberg). Interpolation of Rational Matrix Functions, Birkhauser Verlag,1990, 605 pp.
6. (with P. Lancaster). Algebraic Riccati Equations, Oxford University Press, 1995, 480 + xvii pp.
7. (with I. Gohberg, P. Lancaster). Indefinite Linear Algebra and Applications, Birkhauser Verlag, 2005.
1. On the augmentation ideal in group algebras, Diploma Thesis, Latvian State University, Riga, Latvia, 1971.
2. On the many-armed bandit problem, M. A. Thesis, Tel-Aviv University, Tel-Aviv, Israel, 1976.
3. Spectral theory of analytic matrix functions, Ph. D. Thesis, Tel-Aviv University, Tel-Aviv, Israel, 1978. Prof. I. Gohberg, advisor.
1. (with I. Gohberg, J. W. Helton, (eds)). Contributions to Operator Theory and its Applications, Proc. of the 1987 Mesa Conference on Operator Theory and Functional Analysis, Operator Theory: Advances and Applications, Vol 35(1988), 530 pp., Birkhauser Verlag.
2. (with J. A. Ball, P. Van Dooren (eds)). Special Issue on Matrix Valued Functions, Linear Algebra and Applications, Vol. 137-138 (1990), 748 pp.
3. (with D. O'Leary, H. Shapiro (eds)). Proceedings of the 3rd Conference of International Linear Algebra Society, Linear Algebra and its Applications, Vol. 212-213 (1994), 554 pp.
4. (with J. A. Ball, J. W. Helton, M. Klaus (eds.)). Proceedings of the International Workshop in Operator Theory and its Applications, Virginia Tech, 2003, Current Trends in Operator Theory and its Applications, Operator Theory: Advances and Applications, Vol 149 (2004), Birkhauser Verlag, xxii + 595 pp.
5. (with H. Bart, I. Koltracht, A. S. Markus (eds.)). Special Volume dedicated to P. Lancaster, Linear Algebra and Applications, Vol 385 (2004), 476 pp.
1. On the many-armed bandit problem, Annals of Probability, 6(1978), 491-498.
2. (with I. Gohberg, P. Lancaster), Spectral analysis of matrix polynomials, I. Canonical forms and divisors, Linear Algebra and Applications, 20(1978), 1-44.
3. (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.
4. (with I. Gohberg, P. Lancaster), Representation and divisibility of operator polynomials, Canadian Math Journal, 30, 5(1978), 1045-1069.
5. (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.
6. (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.
7. On existence of common multiples of monic operator polynomials, Integral Equations and Operator Theory, 1(1978), 400-414.
8. (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.
9. (with I. Gohberg, L. Lerer), Factorization indices for matrix polynomials, Bulletin American Mathematical Society, 84(1978), 275-277.
10. (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.
11. (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.
12. (with I. Gohberg), On the spectral structure of monic matrix polynomials and the extension problem, Linear Algebra and Applications, 24(1979), 157-172.
13. On analytic equivalence of operator polynomials, Integral Equations and Operator Theory, 2(1979), 48-61.
14. (with M. Schaps), On the partial multiplicities of a product of two matrix polynomials, Integral Equations and Operator Theory, 2(1979), 565-599.
15. (with I. Gohberg, P. Lancaster), Perturbation theory for divisors of operator polynomials, SIAM Journal of Mathematics Analysis, 10(1979), 1161-1183.
16. (with I. Gohberg, P. Lancaster), On selfadjoint matrix polynomials, Integral Equations and Operator Theory, 2/3(1979), 434-439.
17. (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.
18. (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.
19. (with I. Gohberg, P. Lancaster), Spectral analysis of selfadjoint matrix polynomials, Annals of Mathematics, 112(1980), 33-71.
20. (with P. Lancaster), Existence and uniqueness theorems for the algebraic Riccati equation, International Journal of Control, 32(1980), 285-309.
21. 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.
22. On connected components in the set of divisors of monic matrix polynomials, Linear Algebra and Applications, 31(1980), 33-42.
23. On nonnegative invariant subspaces in indefinite scalar product spaces, Linear and Multilinear Algebra, 10(1981), 1-14.
24. Remark on irreducible factorizations of polynomials in several variables, Canadian Mathematical Bulletin, 2(1981), 493-496.
25. (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.
26. (with I. Gohberg), Analytic matrix functions with prescribed local data, Journal d'Analyse Mathematique, XL(1981), 90-128.
27. (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.
28. On global geometric properties of the set of subspaces in Hilbert space, Journal of Functional Analysis, 45(1982), 226-235.
29. (with I. Gohberg, P. Lancaster), Factorization of selfadjoint matrix polynomials with constant signature, Linear and Multilinear Algebra, 11(1982), 209-224.
30. (with I. Gohberg, P. Lancaster), Perturbations of H-selfadjoint matrices, with applications to differential equations, Integral Equations and Operator Theory, 5(1982), 718-757.
31. (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.
32. (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.
33. (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.
34. (with I. Gohberg, P. Lancaster), A sign characteristic for selfadjoint meromorphic matrix functions, Applicable Analysis, 16(1983), 165-185.
35. (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.
36. (with I. Gohberg, L. Lerer), Wiener-Hopf factorization of piecewise matrix polynomials, Linear Algebra and Applications, 52/5(1983), 315-350.
37. Maximal invariant neutral subspaces and application to the algebraic Riccati equation, Manuscripta Matematica, 43(1983), 1-12.
38. (with I. Gohberg), Analytic operator valued functions with prescribed local data, Acta Math. (Szeged), 45(1983), 189-200.
39. (with K. Clancey), Eigenspaces of families of Toeplitz operators with rational matrix symbol, Manuscripta Mathematica, 45(1983), 1-12.
40. (with L. Lerer, M. Tismenetsky), Bezoutian and Schur-Cohn problem for operator polynomials, Journal of Mathematical Analysis and Applications, 103(1984), 83-102.
41. (with A. C. M. Ran), Stability of invariant maximal semidefinite subspaces, I. Linear Algebra and Its Applications, 62(1984), 51-86.
42. (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.
43. (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.
44. On the structure of selfadjoint Toeplitz operators with rational matrix symbol, Proceedings of American Mathematical Society, 92(1984), 487-494.
45. (with C. R. Johnson), Inertial possibilities for completions of partial hermitian matrices, Linear and Multilinear Algebra, 16(1984), 179-195.
46. (with C. R. Johnson), Convex sets of hermitian matrices with constant inertia, SIAM Journal of Algebraic and Discrete Methods, 6(1985), 351-359.
47. (with J. W. Helton), Signature preserving linear maps of hermitian matrices, Linear and Multilinear Algebra, 17(1985), 29-37.
48. (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.
49. (with I. Gohberg, P. Lancaster), Perturbations of analytic hermitian matrix functions, Applicable Analysis, 20(1985), 23-48.
50. (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.
51. On factorization of operator polynomials and analytic operator functions, Rocky Mountain Journal of Mathematics, 16(1986), 153-162.
52. (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.
53. (with I. Gohberg), On distance between lattices of invariant subspaces of matrices, Linear Algebra and its Applications, 76(1986), 85-120.
54. (with I. Gohberg), Interpolation and local data for meromorphic matrix and operator functions, Integral Equations and Operator Theory, 9(1986), 60-94.
55. (with I. Gohberg, P. Lancaster), On hermitian solutions of the symmetric algebraic Riccati equation, SIAM Journal Control and Optim, 24(1986), 1323-1334.
56. (with I. Gohberg, P. Lancaster), Quadratic matrix polynomials with a parameter, Advances in Applied Mathematics, 7(1986), 253-282.
57. (with P. Lancaster, A. C. M. Ran), Hermitian solutions of the discrete algebraic Riccati equation, International Journal of Control, 44(1986), 777-802.
58. Stable invariant subspaces modulo a subspace, Operator Theory: Advances and Applications, (eds. H. Bart, I. Gohberg, M. A. Kaashoek), Birkhauser, 19(1986) 399- 413.
59. (with C. R. Johnson), Completion of partial matrices to contractions, Journal of Functional Analysis, 69(1986), 260-267.
60. (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.
61. (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.
62. (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.
63. Structure of infinite dimensional stable canonical equations with periodic coefficients, Journal of Differential Equations, 68(1987), 221-237.
64. (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.
65. (with S. Pierce), Congruences and norms of hermitian matrices, Canadian Mathematical Journal, XXXIX(1987), 1446-1458.
66. (with J. W. Helton), Vandermonde and resultant matrices: an abstract approach, Mathematical System Theory, 20(1987), 169-192; correction, 21(1988), 61.
67. (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.
68. (with C-K. Fong, D. A. Herrero), Invariant subspaces lattices that complement every subspace, Illinois Journal of Mathematics, 32(1988), 151-158.
69. (with C. R. Johnson), Completion of Toeplitz partial contractions, SIAM Journal on Matrix Analysis and its Applications, 9(1988), 159-167.
70. Bezout equation, Vandermonde operators, and common multiples of operator polynomials, Journal of Mathematical Analysis and Applications, 133(1988), 68-78.
71. (with J. Agler, J. W. Helton, S. McCullough), Positive semidefinite matrices with given sparsity pattern, Linear Algebra and its Applications, 107(1988), 101-149.
72. (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.
73. (with A. C. M. Ran), Stability of invariant Lagrangian subspaces I, Operator Theory: Advances and Applications 32(1988), 181-228.
74. (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.
75. (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.
76. (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.
77. (with A. C. M. Ran), Stability of invariant Lagrangian subspaces II. Operator Theory: Advanced and Applications, 40(1989), 391-425.
78. (with A. C. M. Ran), Semidefinite perturbations of analytic hermitian matrix functions, Integral Equations and Operator Theory 12(1989), 739 - 745.
79. (with N. Cohen, C. R. Johnson, H. Woerdeman), Ranks of completions of partial matrices, Operator Theory: Advances and Applications. 40(1989), 165 - 185.
80. (with A. C. M. Ran), On stability of invariant subspaces of matrices, American Mathematical Monthly, 97(1990), 809-823.
81. On exact controllability of operators, Rocky Mountain Journal of Mathematics. 20(1990), 549-560.
82. (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.
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.
84. (with C. K. Li), Some extremal problems for positive matrices and operators, Linear Algebra and Applications, 140(1990), 139-154.
85. (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.
86. (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.
87. On factorization of selfadjoint operator polynomials, Proceedings of Symposia in Pure Mathematics, 51(1990), 295-306.
88. (with J. A. Ball, I. Gohberg), Common minimal divisors and multiples for rational matrix functions, Linear Algebra and Applications 137-138(1990), 621-662.
89. (with P. Nylen), Approximation numbers and Yamamoto's theorem in Banach algebras, Integral Equations and Operator Theory. 13(1990), 728-749.
90. (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.
91. (with J. A. Ball, I. Gohberg), Simultaneous residue interpolation problems for rational matrix functions, Integral Equations and Operator Theory 13(1990), 611-637.
92. (with R. Curtain), Infinite dimensional algebraic Riccati equations: comparison theorems, Systems and Control Letters, 153(1990), 154-159.
93. (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.
94. (with S. Pierce), On simultaneous congruence of Hermitian matrices, SIAM J. of Matrix Analysis and Appl., 12(1991), 70-83.
95. (with V. I. Paulsen), Positive definite completions of matrices over C*-algebras, Journal of Operator Theory 25(1991), 237-253.
96. (with R. Bru, H. Schneider), Extensions of Jordan bases for invariant subspaces of a matrix, Linear Algebra and its Applications, 150(1991), 209-226.
97. (with J. A. Ball, N. Cohen), Zero data and interpolation problems for rectangular matrix polynomials, Linear and Multilinear Algebra, 29(1991), 53-78.
98. (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.
99. (with L. Lerer, M. Tismenetsky), Inertia theorems for matrix polynomials, Linear and Multilinear Algebra, 30 (1991), 157-182.
100. (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.
101. (with D. Z. Djokovic, C-K Li), Isometries of symmetric gauge functions, Linear and Multilinear Algebra, 30 (1991), 81-92.
102. (with L. Gurvits, I. Spitkovsky), Spectrum assignment for Hilbert space operators, Houston J. Math, 17(1991), 501-523.
103. (with A.C.M. Ran), On symmetric factorizations of rational matrix functions, Linear and Multilinear Algebra,, 29(1991), 243-261.
104. (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.
105. (with A. C. M. Ran), Stable Hermitian solutions of discrete algebraic Riccati equations, Mathematics of Control, Systems and Signals, 5(1992), 165-193.
106. (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.
107. (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.
108. (with T. Shalom), On inversion of symmetric Toeplitz matrices, SIAM J. Matrix Analysis and Application, 13(1992), 530-549.
109. (with A.C.M. Ran), Stable solutions of real algebraic matrix Riccati equations, SIAM Journal of Control, 30(1992), 63-81.
110. (with T. Shalom), Jordan forms of completions of partial upper triangular matrices, Linear Algebra and its Applications, 168(1992), 221-249.
111. (with L. Lerer), Spectrum separation and inertia for operator polynomials, J. of Mathematical Analysis and its Applications. 169(1992), 260-282.
112. (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.
113. (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.
114. (with L. Gurvits, T. Shalom), Controllability and completion of partial upper triangular matrices over rings, Linear Algebra and its Applications, 172(1992), 135-149.
115. (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.
116. Pole shifting for matrices over real algebras, Systems and Control Letters, 19(1992), 475- 480.
117. (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.
118. (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.
119. (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.
120. (with L. Lerer), Sylvester and Lyapunov equations and some interpolation problems for rational matrix functions, Linear Algebra and its Applications 185(1993), 83-117.
121. (with L. Gurvits, T. Shalom), Controllability by completions of partial upper triangular matrices, Mathematics of Control, Signals and Systems, 6(1993), 30-40.
122. (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.
123. (with A.C.M. Ran, A.L. Rubin), Stability index of invariant subspaces of matrices, Linear and Multilinear Algebra, 36(1993), 27-40.
124. (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.
125. (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.
126. (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.
127. (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.
128. (with S. Pierce), Lipschitz properties of some actions of matrix groups, Linear Algebra and its Applications, 208/209 (1994), 135-174.
129. (with A.C.M. Ran), Factorization of matrix polynomials with symmetries, SIAM J. of Matrix Analysis and Applications, 15 (1994), 846-864.
130. (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.
131. (with A.C.M. Ran), The rate of convergence of real invariant subspaces, Linear Algebra and its Applications, 207 (1994), 197-223.
132. (with C-K. Li), Numerical range of matrix polynomials, SIAM J. Matrix Analysis and Applications, 15 (1994), 1256 - 1265.
133. (with P. Lancaster), Invariant neutral subspaces for symmetric and skew real matrix pairs. Canadian J. of Math, 46 (1994), 607 - 618.
134. (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.
135. (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.
136. (with H. J. Woerdeman), Perturbations, singular values and ranks of partial triangular matrices, SIAM J. of Matrix Analysis and Applications, 16 (1995), 278 - 288.
137. (with P. Lancaster), Minimal symmetric factorizations of symmetric real and complex rational matrix functions, Linear Algebra and its Applications, 220 (1995), 249 - 282.
138. (with L. Lerer), Inertia of operator polynomials and stability of differential equations, Journal of Math. Analysis and Appl. 192 (1995), 579 - 606.
139. Homogeneous Riccati equations vs quadratic inequalities, Systems and Control Letters, 26(1995), 283 - 288.
140. (with L. Lerer), Common zero structure of rational matrix functions, Journal of Functional Analysis, 136(1996), 1 - 38.
141. (with M. Rakowski), Interpolation and divisibility of meromorphic matrix functions, J. of Math. Analysis and Applications, 199(1996), 592 - 619.
142. (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.
143. (with L. Lerer), Symmetric factorizations and localization of zeroes of rational matrix functions, Linear and Multilinear Algebra, 40(1996), 259 - 281.
144. (with S. A. McCullough), Two-selfadjoint operators in Krein space, Integral Equations and Operator Theory, 26(1996), 202 - 209.
145. (with L. Lerer), Bezoutians for rational matrix functions, Journal of Functional Analysis, 141(1996), 1 - 36.
146. (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.
147. Products of symmetric and skew-symmetric matrices, Linear and Multilinear Algebra, 43 (1997), 19 - 34.
148. (with D. S. Keeler, I. M. Spitkovsky), The numerical range of $3 \times 3$ matrices, Linear Algebra and its Applications, 252 (1997), 115 - 139.
149. (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.
150. (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.
151. (with L. Gurvits), Convergence of polynomially bounded semigroups of matrices, SIAM Journal of Matrix Analysis and Applications, 18 (1997), 360 - 368.
152. (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.
153. (with A. S. Markus), Some results on numerical ranges and factorizations of matrix polynomials, Linear and Multilinear Algebra, 42 (1997), 169 - 185.
154. Non-Hermitian solutions of algebraic Riccati equations, Canadian Journal of Mathematics, 49 (1997), 840 - 854.
155. (with I. Y. Bar-Itzhack, D. Hershkowitz), Pointing in real euclidean space, Journal of Guidance, Control, and Dynamics, 20 (1997), 916 - 922.
156. (with N. Cohen, I. Lewkowicz), Exponential stability of triangular differential inclusion systems, Systems and Control Letters, 30 (1997), 159 - 164.
157. (with L. Gurvits), Positivity and strict contractivity of functions of operators, Integral Equations and Operator Theory, 28 (1997), 17 - 27.
158. (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.
159. (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.
160. (with D. Quint, I. M. Spitkovsky), New cases of almost periodic factorization of triangular matrix functions, Michigan Journal of Mathematics, 45 (1998), 73 - 102.
161. (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.
162. (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.
163. (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.
164. (with I. M. Spitkovsky), Almost periodic factorization and corona theorem, Indiana University Mathematics Journal, 47 (1998), 1243 - 1256.
165. (with C.-K. Li), Shapes and computer generation of numerical ranges of Krein space operators, Electronic Journal of Linear Algebra, 2 (1998), 31 - 47.
166. (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.
167. (with S. A. McCullough), Normal generalized selfadjoint operators in Krein spaces, Linear Algebra and its Applications, 283 (1998), 239 - 245.
168. (with L. Lerer), Inertia theorems for Hilbert space operators based on Lyapunov and Stein equations, Mathematische Nachrichten, 198 (1999), 131 - 148.
169. (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.
170. (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.
171. (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.
172. (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.
173. (with L. Lerer), Bezoutians of rational matrix functions, matrix equations and factorizations, Linear Algebra and its Applications, 302/303 (1999), 105 - 133.
174. (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.
175. (with V. Bolotnikov), Normal forms and joint numerical ranges of doubly commuting matrices, Linear Algebra and its Applications, 301 (1999), 187 - 194.
176. Finite dimensional spaces with indefinite scalar products: Research problems, Obzornik za Matematiko in Fiziko, Ljubljana, 46 (1999), 57 - 60.
177. (with C. V. M. van der Mee, A. C. M. Ran), Stability of polar decompositions, Glasnik Matematicki, 35 (2000), 137 - 148.
178. (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.
179. (with P. Semrl), Linear preservers of minimal rank, Linear Algebra and its Applications, 310 (2000), 73 - 82.
180. (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.
181. (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.
182. (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.
183. (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.
184. (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.
185. (with V. Bolotnikov), On positivity of analytic matrix functions in polydisks, Linear Algebra and Appl., 328 (2001), 69 - 94.
186. (with V. Bolotnikov), Positive extension and completion problems for a class of structured matrices, Linear and Multilinear Algebra, 48 (2001), 189 - 235.
187. (with N. Zobin), Linear preservers of isomorphism types of lattices of invariant operator ranges, Proc. of Amer. Math. Soc., 129 (2001), 2981 - 2986.
188. (with B. Lins, P. Meade, C. Mehl), Normal matrices and polar decompositions in indefinite inner products, Linear and Multilinear Algebra, 49 (2001), 45 - 89.
189. (with C. Mehl), Classes of normal matrices in indefinite inner products, Linear Algebra and its Applications, 336 (2001), 71 - 98.
190. (with V. Bolotnikov, C.-K. Li), Minimal distortion problems for classes of unitary matrices, Electronic Journal of Linear Algebra, 8 (2001), 26 - 46.
191. (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.
192. (with B. Lins, P. Meade, C. Mehl), Research problem: Indefinite inner product normal matrices, Linear and Multilinear Algebra, 49 (2001), 261 - 268.
193. (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.
194. (with L. Lerer), Inertia bounds for operator polynomials, Operator Theory: Advances and Applications, 130 (2002), 255 - 276.
195. (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.
196. (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.
197. (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.
198. (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.
199. (with V. Bolotnikov), Finite dimensional backward shift invariant subspaces of Arveson spaces, Linear Algebra and its Applications, 349 (2002), 265 - 282.
200. (with C. Mehl), Symmetric matrices with respect to sesquilinear forms, Linear Algebra and its Applications, 349 (2002), 55 - 75.
201. (with C. K. Li), H-joint numerical ranges, Bulletin of the Australian Mathematical Society, 66 (2002), 105 - 117.
202. (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.
203. (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.
204. (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.
205. (with C. K. Li, P. Semrl), Linear maps on selfadjoint operators preserving invertibility, positive definiteness, numerical range, Canadian Mathematical Bulletin, 46 (2003), 216 - 228.
206. (with I. M. Spitkovsky, H. J. Woerdeman), Noncanonical factorizations of almost periodic multivariable matrix functions, Operator Theory: Advances and Applications, 142 (2003), 311 - 344.
207. (with V. Bolotnikov, A. Kheifets), Functions with Pick matrices having bounded number of negative eigenvalues, Contemporary Mathematics, 323 (2003), 393 - 417.
208. (with V. Bolotnikov, A. Kheifets), Pairs of functions with indefinite Pick matrices, Linear Algebra and its Applications, 367 (2003), 271 - 290.
209. (with V. Bolotnikov), Krein - Langer factorizations via pole triples, Integral Equations and Operator Theory, 47 (2003), 169 - 195.
210. (with C. K. Li, I. M. Spitkovsky), On numerical ranges and roots, J. of Mathematical Analysis and Applications, 282 (2003), 329 - 340.
211. (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.
212. (with V. Bolotnikov), Remarks on interpolation in reproducing kernel Hilbert spaces, Houston Journal of Mathematics, 30 (2004), 559 - 576.
213. (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.
214. (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.
215. (with C. Mehl, A. C. M. Ran), Semidefinite invariant subspaces: degenerate inner products, Operator Theory: Advances and Applications, 149 (2004), 467 - 486.
216. (with V. Bolotnikov, A. Kheifets), Operator valued jet functions with positive Caratheodory--Pick operators, Integral Equations and Operator Theory, 50 (2004), 291 - 304.
217. (with V. Bolotnikov, A. Kheifets), Jet functions having indefinite Caratheodory--Pick matrices, Linear Algebra and its Applications, 385 (2004), 215 - 286.
218. (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.
219. (with C. K. Li), Multiplicative preservers of $C$-numerical ranges and radii, Linear and Multilinear Algebra, 52 (2004), 265 - 279.
220. (with S. Pierce), Research problem: Lipschitz properties of matrix group actions, Linear and Multilinear Algebra, 52 (2004), 461 - 466.
221. (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.
222. (with C. K. Li), Inverse closed ray-nonsingular convex cones of matrices, Linear Algebra and its Applications, 400 (2005), 203 - 230.
223. (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.
224. (with P. Semrl, A. R. Sourour), Continous adjacency preserving maps on real matrices, Canadian Mathematical Bulletin}, 48 (2005), 267 - 274.
225. Invariant subspaces of selfadjoint matrices in skew symmetric inner products, SIAM J. on Matrix Analysis, 26 (2005), 901 - 907.
226. (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.
227. (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.
228. (with I. Lewkowicz and E. J. Yarkoni), Convex invertible sets and matrix sign function, Linear Algebra and its Applications, 396 (2005), 329 - 352.
229. (with A. Pankov), Spectra of periodic operator polynomials with finitely many diagonals, Journal of Mathematical Analysis and Applications, 309 (2005), 167 - 175.
230. (with L. Gurvits), On matrix polynomials with real roots, SIAM J. on Matrix Analysis and Applications, 26 (2005), 758 - 764.
231. (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.
232. (with W. S. Cheung and C. K. Li), Operators with numerical range in a closed halfplane, submitted.
233. (with A. C. M. Ran and M. C. B. Reurings), A perturbation operator equations, submitted.
234. (with C. Mehl and A. C. M. Ran), Invariant maximal positive subspaces and polar decompositions, to appear in Integral Equations and Operator Theory.
235. (with I. M. Spitkovsky), Analytic roots of invertible matrix functions, submitted.
236. Similarity vs unitary similarity: Complex indefinite inner products, submitted.
237. (with P. Semrl), Orthogonality preserving bijective maps on real and complex projective spaces, submitted.
238. (with M. Mbekhta, P. Semrl), Linear maps preserving generalized invertibility, submitted.
239. Similarity vs unitary similarity and perturbation analysis of sign characteristic: \\ \> \> Real indefinite inner products, submitted.
240. (with D. Alpay and A. C. M. Ran), Basic classes of matrices with respect to quaternionic indefinite inner product spaces, submitted.
241. A note on indefinite Douglas' lemma, submitted.
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9. 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.
10. (with S. A. McCullough), Hereditary classes of operators and matrices, American Mathematical Monthly, 104 (1997), 415 - 430.
11. 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), 279 - 293.
12. (with A. C. M. Ran), A class of robustness problems in matrix analysis, Operator Theory: Advances and Applications, 134 (2002), 337 - 389.
13. (with Y. H. Au-Yeung, C. K. Li), H-unitary and Lorentz matrices: A review, SIAM J. of Matrix Analysis, 25 (2004), 1140 - 1162.
14. (with J. A. Ball, J. W. Helton, M. Klaus), IWOTA 2002 and recent achievements and new directions in Operator Theory and Applications, Operator Theory: Advances and Applications}, 149 (2004), i - xxii.
15. (with P. Lancaster), Canonical forms for hermitian matrix pairs under strict equivalence and congruence, accepted in {\em SIAM Review}.
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4. H. E. Rose, Linear Algebra. A Pure Mathematical Approach, SIAM Review, 45 (2003), 618 - 620.
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1. 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.
2. (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.
3. (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.
4. (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.
5. (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.
6. (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.
7. (with A. C. M. Ran), Robust solutions of algebraic Riccati equations, Proc. of American Control Conference, (1990), 3058 - 3059.
8. (with A. C. M. Ran), Perturbation analysis of algebraic matrix Riccati equations, Proceedings of the 29th Control and Decision Conference, (1990), 1855-1856.
9. (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.
10. (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.
11. (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.
12. (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.
13. (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.
14. (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.
15. (with I. Y. Bar-Itzhack, D. Hershkowitz), Pointing, Proceedings of 35th IEEE Conference on Decision and Control, (1996), 3134 - 3144, Kobe, Japan.
16. (with A. C. M. Ran), Rate of stability of symmetric factorizations, Proc. of European Control Conference, (1997), 2 pp., Brussels, Belgium.
17. State space methods for tangential interpolation problems, Proc. of 36th Conference on Decision and Control, (1997), San Diego, California, pp. 4420 - 4424.
18. (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.
19. (with H. Bart, I. Koltracht, A. S. Markus), Personal notes, Linear Algebra and its Applications, 385 (2004), 7 - 21.