Matrix Analysis
Nonnegative matrices and
generalizations
Numerical range
Graphs and patterns of matrices
Numerical linear
algebra
Dynamical systems and linear control theory
- On the Relation Between the Numerical Range and the Joint
Numerical Range of Matrix Polynomials, (with P. J.Psarrakos), Electronic Journal of Linear Algebra, 6 (2000), 20-30.
- A Recursive Test for P-Matrices, (with L. Li),
BIT Numerical Mathematics, 40(2) (2000), 404-408.
- Principal Pivot Transforms: Properties and Applications,
Linear Algebra and its Applications, 307 (2000),
151-165.
- Extremal Properties of Ray-nonsingular Matrices,
(with G.Y. Lee, J.J. McDonald and B.L. Shader), Discrete
Mathematics, 216 (2000), 221-233.
- Separable Characteristic Polynomials of Pencils and Property
(with J. Maroulas and P.J. Psarrakos), Electronic Journal of
Linear Algebra, 7 (2000), 182-190.
- Potash Crystallization,(with T. Myers),
in: Proceedings of the 1st Prairie Industrial Problem Solving
Workshop, August 7-11, 2000, Brandon, Manitoba.
- Matrices with a Common Non-trivial Invariant
Subspace, Linear Algebra and its Applications, 322
(2001), 51-59.
- Dictionary of Algebra, Arithmetic and
Trigonometry, Contributing Author in a volume in the Comprehensive
Dictionary of Mathematics, Steven G. Krantz, Editor, CRC Press,
Boca Raton, (2001).
- On the Location of the Spectrum of Hypertournament Matrices,
(with S. Kirkland and P.J.Psarrakos),Linear Algebra and Its
Applications, 323 (2001), 37-49.
- On the Stability Radius of Matrix Polynomials,
(with P.J. Psarrakos), Linear and Multilinear
Algebra, 50 (2002) 151-165.
- Perron-Frobenius Type Results on the Numerical Range, (with J.
Maroulas and P.J. Psarrakos), Linear Algebra and its
Applications, 348 (2002), 49-52.
- Generating and Detecting Matrices with Positive Principal Minors,
Asian Information-Science-Life, 1 (2) (2002), 115-132.
- On the Cayley Transform of Positivity Classes of Matrices,
(with S. Fallat), Electronic Journal of Linear Algebra, 9 (2002), 190-196.
- The Perron Eigenspace of Almost Skew-Symmetric Matrices and Levinger's Transformation,
(with P.J. Psarrakos), Linear Algebra and its Applications,
350 (2003), 43-57.
- On the Spectra of Striped Sign Patterns, (with J.J. McDonald, D.D.
Olesky and P. van den Driessche), Linear and Multilinear
Algebra, 51 (2003), 39-48.
- Numerical Range:in a Matrix Nutshell, Parts 1 and 2, (with P.J. Psarrakos), Math-Notes, Wash. State Univ. 45-2; 45-1 (2003).
- Almost Skew-Symmetric Matrices, (with J.J.McDonald and P.J.
Psarrakos),Rocky Mountain Journal of Mathematics, 34
(2004), 269-288.
- A Primer of Perron-Frobenius Theory for Matrix Polynomials,
(with P.J. Psarrakos), Linear Algebra and its Applications,
393 (2004), 333-352.
- A Criterion for Reducibility of Matrices, (with V. Monov),
Cybernetics and Information Technologies, 4 (2004),
60-68.
- On Reducing and Deflating Subspaces of Matrices, (with V. Monov),
Electronic Journal of Linear Algebra, 11 (2004),
246-257.
- On Matrices with Common Invariant Cones with Applications to
Neural and Gene Networks, (with R. Edwards and J.J. McDonald),Linear Algebra and its Applications, 398 (2005), 37-67.
- Bounds for Levinger's Function of Nonnegative Almost Skew-symmetric
Matrices, (with P.J. Psarrakos), Linear Algebra and its
Applications, (to appear).
- Principal Minors, Part I: A Method for Computing All the Principal
Minors of a Matrix, (with K. Griffin),
Linear Algebra and its Applications (to appear).
- Principal Minors, Part II: The Principal Minor
Assignment Problem, (with K. Griffin), Linear Algebra and its
Applications (to appear).
2007-06-05