Michael J. Tsatsomeros

Matrix Analysis $\bullet$ Nonnegative matrices and generalizations
Numerical range $\bullet$ Graphs and patterns of matrices $\bullet$ Numerical linear algebra
$\bullet$ Dynamical systems and linear control theory

  1. 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.

  2. A Recursive Test for P-Matrices, (with L. Li), BIT Numerical Mathematics, 40(2) (2000), 404-408.

  3. Principal Pivot Transforms: Properties and Applications, Linear Algebra and its Applications, 307 (2000), 151-165.

  4. Extremal Properties of Ray-nonsingular Matrices, (with G.Y. Lee, J.J. McDonald and B.L. Shader), Discrete Mathematics, 216 (2000), 221-233.

  5. Separable Characteristic Polynomials of Pencils and Property (with J. Maroulas and P.J. Psarrakos), Electronic Journal of Linear Algebra, 7 (2000), 182-190.

  6. Potash Crystallization,(with T. Myers), in: Proceedings of the 1st Prairie Industrial Problem Solving Workshop, August 7-11, 2000, Brandon, Manitoba.

  7. Matrices with a Common Non-trivial Invariant Subspace, Linear Algebra and its Applications, 322 (2001), 51-59.

  8. 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).

  9. 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.

  10. On the Stability Radius of Matrix Polynomials, (with P.J. Psarrakos), Linear and Multilinear Algebra, 50 (2002) 151-165.

  11. Perron-Frobenius Type Results on the Numerical Range, (with J. Maroulas and P.J. Psarrakos), Linear Algebra and its Applications, 348 (2002), 49-52.

  12. Generating and Detecting Matrices with Positive Principal Minors, Asian Information-Science-Life, 1 (2) (2002), 115-132.

  13. On the Cayley Transform of Positivity Classes of Matrices, (with S. Fallat), Electronic Journal of Linear Algebra, 9 (2002), 190-196.

  14. 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.

  15. 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.

  16. Numerical Range:in a Matrix Nutshell, Parts 1 and 2, (with P.J. Psarrakos), Math-Notes, Wash. State Univ. 45-2; 45-1 (2003).

  17. Almost Skew-Symmetric Matrices, (with J.J.McDonald and P.J. Psarrakos),Rocky Mountain Journal of Mathematics, 34 (2004), 269-288.

  18. A Primer of Perron-Frobenius Theory for Matrix Polynomials, (with P.J. Psarrakos), Linear Algebra and its Applications, 393 (2004), 333-352.

  19. A Criterion for Reducibility of Matrices, (with V. Monov), Cybernetics and Information Technologies, 4 (2004), 60-68.

  20. On Reducing and Deflating Subspaces of Matrices, (with V. Monov), Electronic Journal of Linear Algebra, 11 (2004), 246-257.

  21. 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.

  22. Bounds for Levinger's Function of Nonnegative Almost Skew-symmetric Matrices, (with P.J. Psarrakos), Linear Algebra and its Applications, (to appear).

  23. 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).

  24. Principal Minors, Part II: The Principal Minor Assignment Problem, (with K. Griffin), Linear Algebra and its Applications (to appear).




2007-06-05