REU
Summer Research Papers 1990-2000
(Students in William and Mary's summer REU programs were
supported by a sequence of NSF REU site grants)
1990 / 1991 / 1992 / 1993 / 1994 / 1995 / 1996 / 1997 / 1998 / 1999 / 2000
| Student(s) | Advisor(s) | Title |
| Jeremy
Brandman
James Fowler Brian Lins |
N. Zobin | Our Reflections on Coxeter Groups |
| Ellen
Eischen
Karen Lange |
D. Stanford | Symmetric Patterns Allowing Symmetric and Skew-Symmetric Matrices Given Row and Column Sums. |
| Justin
Grosslight
Robert Young |
J. Drew | Spectral Ranges of Sign Patterns. |
| Robert Masson | M. Trosset | On the Diagonal Scaling of Squared Distance Matrices to Doubly Stochastic Matrices. |
| Brian
Sutton
Andrew Witt |
C.
Johnson
T.
Milligan
|
On the List of Eigenvalue Multiplicities for an Hermitian Matrix whose Graph is a Tree. |
| Student(s) | Advisor(s) | Title |
| Laren
Caston
Milena Savova |
I. Spitkovsky | On Eigenvalues and Boundary Curvature of the Nuberical Range. |
| Jeffrey
Clouse
Veronika Furst |
Thomas
Goebeler
Donald Yau |
A Generalization of the Numberical Range. |
| Johanna N.Y. Franklin | Thomas
Goebeler
Donald Yau |
Statistical Analysis of the Determinants of Certain Sign Pattern Matrices. |
| Christopher Hillar | C. Johnson | Eigenvalues of Words in Two Positive Definite Letters. |
| Sam Malone | M. Trosset | A Study of the Critical Points of the Stress Criterion in Metric Multidimensional Scaling |
| Nicholas
McCarthy
David Ogilvie |
I. Spitkovsky | Going to Polar Extremes. |
| Student(s) | Advisor | Title |
| Li-Chung
Chen
Anders O.F. Hendrickson |
Spitkovsky | Semipositive
and Minimally
Semipositive
Completions
|
| Alissa S. Crans | Shaun Fallat | The Hadamard Core for Totally Non-Negative Matrices |
| Keith E. DiMarco | C. Johnson | Totally Positive Pattern Completions |
| Carolyn Goldbeck | Shaun
Fallat
Michael Gekhtman |
Ratios
of Principal Minors of Totally Non-Negative
Matrices |
| Fumei Lam | Drew | Completely Positive Matrices and Their Graphs |
| Helen M. Wong | Robert Reams | Almost Positive Semidefinite Matrices on Little E |
| Student(s) | Advisor | Title |
| Jeffrey
Beh
Melanie Pevarski |
Shaun
Fallat
(and C. Johnson) |
Positive Stability of Koteljanskii Matrices and Related Topics |
| Emily B. Dryden | C. Johnson | Totally Nonnegative Completions |
| Suzanne
Lewis
Donald Yau |
Tracy Hall (BYU) | Possible Line Sums for a Qualitative Matrix |
| Peter McNamara | Tracy Hall (BYU) | Ratios of Minors of Positive Semi-Definite Matrices |
| Pavel Okunev | C. Johnson | Necessary And Sufficient Conditions For LU Factorability |
| Ronald A. Walker | Spitkovsky | Problems in Almost Periodic Factorization |
| Jeff Whitworth | Stanford | Eigenvalues and Diagonalizability of Totally Nonnegative, Irreducible Matrices |
| Student(s) | Advisor | Title |
| Geoffrey Buhl | C. Johnson | Commutative Matrix Completions |
| Todd
Coleman
Thomas Travison |
Li
Michael Lundquist (BYU) |
Inequalities and Isometries for the Induced c-Norm on Square Matrices |
| William R. Hubbard | Stanford | Topics in Semipositivity |
| Steven
J. Kilner
Angela M. McKay |
Drew | Completely Positive and Doubly Nonnegative Completions on Partial Matrices |
| Julia Shih-Jung Lin | Li | Determinants of Zero-Matrices with Constant Row and Column Sums |
| Daniel Quint | Rodman | Almost Periodic Factorization of 2 x 2 Triangular Matrix Functions: Applications of a Structure-Preserving Transformation |
| Student(s) | Advisor | Title |
| David Ambrose | Drew | Nested Sequences of Non-zero Principal Minors |
| Amy M. Ehrlich | Tom Lundy (Wyoming) | Spectral Radii of Orientations of Graphs and the Skew Form Property |
| Mike Holcomb | Stanford | On zero-nonzero patterns, nilpotence, and commutativity of matrices |
| Jeremy C. Johnson | C. Johnson | Reconstruction of Vectors Having Entries of Zero and One |
| Sarah
J. Zepnick
Sanja Petrovic |
C. Johnson | Critical Data and Ultra-Connected Graphs |
| James T. Pyke | Luz de Alba (Drake Univ.) | Superstability |
| Sudheer Shukla | Spitkovsky | On the equality of higher numerical ranges of matrices |
| Darryl H. Yong | Spitkovsky | Factorization of Almost-Periodic Matrix Functions |
| Student(s) | Advisor | Title |
| Adam L. Cohen | Rodman | Convergent Sets of Matrices |
| Kristie
L. Karlof
Karen L. Shuman |
Drew | Completion Problems with Doubly Nonnegative Matrices and Completely Positive Matrices |
| Dennis Keeler | Spitkovsky | On
the numerical range of
3 x 3 matrices |
| Joel Pitkin | Stanford | A Geometric Interpretation of the Dominant Eigenvalue Problem and the Analysis of Related Algorithms |
| Tyler
J. Thompson
Christopher M. Boner |
C.
Johnson
Brenda Kroschel |
Elimination Schemes and Numerical Properties of Zero-Nonzero Patterns |
| Daniel P. Wisniewski | Mathias | Accuracy of the Parallel Prefix qd Algorithm |
| Student(s) | Advisor | Title |
| Claire
E. Cates
J. Hunter Tart |
Drew | Characterization of Supercommuting Matrices |
| Mark A. Gelfand | Spitkovsky | New Classes of Almost Periodic Factorable Matrix Valued Functions |
| Crista Lee Hamilton-Jester | Li | Extreme Vectors of Doubly Nonnegative Matrices |
| Glen L. Hartless | Leemis | Computational Algebra Applications in Reliability Theory |
| Catherine A. Jones | C.
Johnson
Brenda Kroschel |
The Importance of Cycle Conditions: Further Results in the Distance Matrix Completion Problem |
| Anne-Louise Klaus | Li | Isometries for the Vector (p,q) Norm and the Induced (p,q) Norm |
| Wayne Whitney | Li | Closed Symmetric Overgroups of S_n in O_n |
| Student(s) | Advisor | Title |
| Aaron Bono | Mihaly Bakonyi | Several Results on Chordal Bipartite Graphs |
| Sandra R. Lindstrom | Sandra Shields | Orbits of a Finitely Generated group and a Construction by Conlon and Cantwell |
| Paras P. Mehta | Li | Linear Operators Preserving the Inner and Outer c-Spectral Radii |
| Jeremy S. Miller | C. Johnson | Rank Decomposition Under Combinatorial Constraints |
| Keith E. Rhoades | Drew | Introduction to Completely Positive Matrices |
| Howard Thompson | Rublein | Lyapunov Matrix Stability of polynomial Companion Matrices |
| Erik M. Varness | Mihaly Bakonyi | Algorithmic Aspects of Bipartite Graphs |
| Bella Wainberg | Woerdeman | Minimal Norm Elements in Matrix Spectra |
| Student(s) | Advisor | Title |
| Sigal Gottlieb | C. Johnson | Some Inequalities Involving the Numerical Radius |
| M. Kathleen Kerr | C. Johnson | Semi-Positivity of Matrices |
| Annelies Nef | Mathias | The Hadamard Product and Norm |
| Andrew W. Bartelt | C. Johnson | Minimal Rank of Tri-Diagonal Partial Matrices |
| William B. Brockman | Kincaid | Computing Matrices of Maximal Determinant |
| Terry L. Commander | C. Johnson | Spectral Radii of Trees |
| Tamara Gibson | Rublein | The Stability of Polytopes of Polynomials and Polytopes of Matrices and Some Edge Checking Methods |
| David I. Finberg | C. Johnson | Generalized Matrix Functions of M-matrices |
| Student(s) | Advisor | Title |
| Stanley S. Chang | Li | A Special Linear Operator on M_4 (IR) |
| Stanley S. Chang | Li | Certain Isometries on IR^n |
| Samuel Ferguson | C.
Johnson
Tamir Shalom |
Splitting of the characteristic polynomial of certain structured matrices, and information requirements for the determination of the inverse of an n x n persymmetric matrix |
| Patricia
D. Hough
William R. Hall |
C. Johnson | Matrices with Entries +/- 1 |
| Christopher Carl Heckman | Li | Computer Generation of Nonconvex Generalized Numerical Ranges |
| M. Hope McIlwain | Doug Shier | Reliability of Consecutive Systems |
| Janice Murgio | Rublein | Decomposition of Certain Orthostochastic Matrices |
| Jonathan E. Rubin | Rodman | Direct Complements of Invariant Lagrangian Subspaces |
| Jose Miguel Urbano | Stanford | Convergence Problems For Finite Matrix Sets |
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