Michael Tsatsomeros' CV

Curriculum Vitae
Michael Tsatsomeros

Mathematics Department
Washington State University
Pullman, Washington 99164-3113
(509) 335-3144 (office)
(509) 335-1188 (fax)

E-mail: tsat at wsu.edu

Quick links:
[PUBLICATIONS] [PRESENTATIONS]

 EDUCATION

 RESEARCH INTERESTS  

Linear algebra, matrix analysis, especially the theory of nonnegative matrices and their generalizations.
Particular interests include the numerical range; graphs and patterns associated with matrices;
numerical linear algebra; applications in dynamical systems and control theory.

 WORK EXPERIENCE

 SUPERVISION

Current students: Thomas Cameron, Michael Kasigwa, Patrick Torres.
Former students and post-docs:`

 GRANTS/AWARDS

 PUBLICATIONS (in reverse chronological order)

Mathematical Reviews items (includes papers, proceedings, reviews etc. - must subscribe to MathSciNet)

  • P. Psarrakos and M.J. Tsatsomeros.
       On the Geometry of the Envelope of a Matrix.
       Applied Mathematics and Computation, 244:132-141, 2014.

  • J.J. McDonald, P. Paparella, and M.J. Tsatsomeros.
       Matrix Roots of Eventually Positive Matrices.
       Linear Algebra and its Applications, 456:122-137, 2014..

  • M. Cavers, S.M. Cioaba, S. Fallat, D.A. Gregory, W. Haemers, S.J. Kirkland, J.J. McDonald, and M. Tsatsomeros.
       Skew-Adjency Matrices of Graphs.
       Linear Algebra and its Applications, 436:512-4529, 2012.

  • D.D. Olesky, M.J. Tsatsomeros, and P. van den Driessche.
       Sign Patterns with a Nest of Positive Principal Minors.
       Linear Algebra and its Applications, 436:4392-4399, 2012.

  • J. Burk and M.J. Tsatsomeros.
       On the Brualdi-Li Matrix and its Perron Eigenspace
       Electronic Journal of Linear Algebra, 23:212-230, 2012.

  • P. Psarrakos and M.J. Tsatsomeros.
       An Envelope for the Spectrum of a Matrix.
       Central European Journal of Mathematics, 10:292-302, 2012.

  • Michael Tsatsomeros
       In Memoriam: Michael (Miki) Neumann (1946-2011),

       Linear Algebra and its Applications, 436:1-11, 2012.

  • George Psarrakos and Michael Tsatsomeros.
       Ratio Monotonicity for Tail Probabilities in the Renewal Risk Model.
       Probability in the Engineering and Informational Sciences., 25:171-185, 2011.

  • AIM Group: A. Berman et al.
       Sign Patterns that Allow Eventual Positivity
       Electronic Journal of Linear Algebra, 19:108-120, 2009/2010.

  • E. Ellison, L. Hogben, and M. Tsatsomeros.
       Sign Patterns that Require Eventual Positivity or Require Eventual Nonnegativity.
       Electronic Journal of Linear Algebra, 19:98-107, 2009/2010.

  • D.D. Olesky, M.J. Tsatsomeros, and P. van den Driessche.
       Mv - Matrices : A Generalization of M-matrices Based on Eventually Nonnegative Matrices.
       Electronic Journal of Linear Algebra, 18:339-351, 2009.

  • D. Noutsos and M. Tsatsomeros.
       On the Numerical Characterization of the Reachability Cone for an Essentially Nonnegative Matrix.
       Linear Algebra and its Applications, 430(4):1350-1363, 2009.

  • K. Griffin, J. Stuart, and M. Tsatsomeros.
       Noncirculant Toeplitz Matrices All of Whose Powers are Toeplitz.
       Chzechoslovak Mathematical Journal, 58(4):1185-1193, 2008.
     
  • D. Noutsos and M.J. Tsatsomeros.
       Reachability and Holdability of Nonnegative States
       SIAM Journal on Matrix Analysis and Applications, 30(2):700-712, 2008.
     
  • O. Slyusareva and M. Tsatsomeros.
       Mapping and Preserver Properties of the Principal Pivot Transform.
       Linear and Multilinear Algebra, 56(3):279-292, 2008.
     
  • K. Griffin and M. Tsatsomeros.
       Principal Minors, Part I: A Method for Computing All the Principal Minors of a Matrix.
       Linear Algebra and its Applications, 419:107-124, 2006.
     
  • K. Griffin and M. Tsatsomeros.
       Principal Minors, Part II: The Principal Minor Assignment Problem.
       Linear Algebra and its Applications, 419:125-171, 2006.

    The software associated with the above two papers can be found here.

  • M. Adam and M.J Tsatsomeros.
       An Eigenvalue Inequality and Spectrum Localization fo Complex Matrices.
       Electronic Journal of Linear Algebra, 15:239-250, 2006.
     
  • P. Psarrakos and M. Tsatsomeros.
       Bounds for Levinger's Function of Nonnegative Almost Skew-symmetric Matrices.
       Linear Algebra and its Applications, 416:759-772, 2006.
     
  • R.Edwards, J.J. McDonald, and M.J. Tsatsomeros.
       On Matrices with Common Invariant Cones with Applications to Neural and Gene Networks.
       Linear Algebra and its Applications, 398:37-67, 2005.
     
  • V. Monov and M. Tsatsomeros.
       On Reducing and Deflating Subspaces of Matrices.
      Electronic Journal of Linear Algebra, 11 : 246-257, 2004.
     
  • P.J. Psarrakos and M.J. Tsatsomeros.
       A Primer of Perron-Frobenius Theory for Matrix Polynomials.
       Linear Algebra and its Applications, 393:333-352, 2004.
     
  • V. Monov and M. Tsatsomeros.
       A Criterion for Reducibility of Matrices.
      Cybernetics and Information Technologies, 4(2):60--68, 2004.
     
  • J.J. McDonald, P.J. Psarrakos and M.J. Tsatsomeros.
       Almost Skew-Symmetric Matrices.
       Rocky Mountain Journal of Mathematics, 34:269-288, 2004.
     
  • M. Tsatsomeros.
       Generating and Detecting Matrices with Positive Principal Minors.
       In Focus on Computational Neurobiology, Lei Li, Editor, pp. 115-132, Nova Science, New York, 2004.
     
  • P.J. Psarrakos and M.J. Tsatsomeros.
       The Perron Eigenspace of Nonnegative Almost Skew-Symmetric Matrices and Levinger's Transformation.
      Linear Algebra and its Applications, 360:43-57, 2003.
     
  • J.J. McDonald, D.D. Olesky, M.J. Tsatsomeros, and P. van den Driessche.
       On the Spectra of Striped Sign Patterns.
      Linear and Multilinear Algebra, 51:39-48, 2003.
     
  • P.J. Psarrakos and M.J. Tsatsomeros.
       Numerical Range: (in) a Matrix Nutshell, Parts 1 / 2.
      Mathematical Notes from Washington State University, Vol 45, No. 2, 2002 / Vol 46, No. 1, 2003.
     
  • S.M. Fallat and M.J Tsatsomeros.
       On the Cayley Transform of Positivity Classes of Matrices.
       Electronic Journal of Linear Algebra, 9:190-196, 2002.
     
  • P.J. Psarrakos and M.J. Tsatsomeros.
       On the Stability Radius of Matrix Polynomials.
      Linear and Multilinear Algebra, 50 : 151-165, 2002.
     
  • J. Maroulas, P.J. Psarrakos, and M.J. Tsatsomeros.
       Perron-Frobenius Type Results on the Numerical Range.
      Linear Algebra and its Applications, 348 : 49-62, 2002.
     
  • S. Kirkland, P.J. Psarrakos, and M.J. Tsatsomeros.
       On the Location of the Spectrum of Hypertournament Matrices.
      Linear Algebra and its Applications, 323 : 37-49, 2001.
     
  • M. Tsatsomeros.
       A Criterion for the Existence of Common Invariant Subspaces of Matrices.
      Linear Algebra and its Applications, 322 : 51-59, 2001.
     
  • T. Myers and M. Tsatsomeros.
       Potash Crystallization.
      Report in the Proceedings of the 1st Prairie Industrial Problem Solving Workshop,
      August 7-11, 2000, Brandon, Manitoba.
     
  • J. Maroulas, P.J. Psarrakos, and M.J. Tsatsomeros.
       Separable Characteristic Polynomials of Pencils and Property L.
      Electronic Journal of Linear Algebra, 7 : 182-190, 2000.
     
  • G.Y. Lee, J.J. McDonald, B.L. Shader, and M.J. Tsatsomeros.
       Extremal Properties of Ray-nonsingular Matrices.
      Discrete Mathematics, 216 : 221-233, 2000.
     
  • M. Tsatsomeros.
      
    Principal Pivot Transforms: Properties and Applications.
      Linear Algebra and its Applications, 307 : 151-165, 2000.
     
  • M. Tsatsomeros and L. Li.
      
    A Recursive Test for P-Matrices.
      BIT Numerical Mathematics, 40(2) : 404-408, 2000.
     
  • P. J. Psarrakos and M. J. Tsatsomeros.
       On the Relation Between the Numerical Range and the Joint Numerical Range of Matrix Polynomials.
      Electronic Journal of Linear Algebra, 6 : 20-30, 2000.
     
  • L. Han, M. Neumann, and M. Tsatsomeros.
       Spectral Radii of Fixed Frobenius Norm Perturbations of Nonnegative Matrices.
      SIAM Journal on Matrix Analysis and Applications, 21 : 79-92, 1999.
     
  • J.J. McDonald, R. Nabben, M. Neumann, H. Schneider, and M. Tsatsomeros.
       Inverse Tridiagonal Z-Matrices.
      Linear and Multilinear Algebra, 45 : 75-97, 1998.
     
  • J.J. McDonald, D.D. Olesky, H. Schneider, M.J. Tsatsomeros, and P. van den Driessche.
       Z-Pencils.
      Electronic Journal of Linear Algebra, 4 : 32-38, 1998.
     
  • M. Tsatsomeros.
       Sign Controllability: Sign Patterns That Require Complete Controllability.
      SIAM Journal on Matrix Analysis and Applications, 19 : 355-364, 1998.
     
  • B. Li, L. Li, M. Harada, H. Niki, and M. Tsatsomeros.
      
    An Iterative Criterion for H-matrices.
      Linear Algebra and Its Applications, 271 : 179-190, 1998.
     
  • J.J. McDonald, D.D. Olesky, M. Tsatsomeros, and P. van den Driessche.
       Ray Patterns of Matrices and Nonsingularity.
      Linear Algebra and its Applications, 267 : 359-373, 1997.
     
  • B. Li and M. Tsatsomeros.
       Doubly Diagonally Dominant Matrices.
      Linear Algebra and its Applications, 261 : 221-235, 1997.
     
  • S. Kirkland, J.J. McDonald, and M. Tsatsomeros.
       Sign Patterns that Require Positive Eigenvalues.
      Linear and Multilinear Algebra, 41 : 199-210, 1996.
     
  • J.J. McDonald, M. Neumann, H. Schneider, and M. Tsatsomeros.
       Inverses of Unipathic M-Matrices.
      SIAM Journal on Matrix Analysis and Applications, 17 : 1025-1036, 1996.
     
  • C.R. Johnson, M. Neumann, and M. Tsatsomeros.
       Conditions for the Positivity of Determinants.
      Linear and Multilinear Algebra, 40 : 241-248, 1996.
     
  • C.R. Johnson and M. Tsatsomeros.
       Convex Sets of Nonsingular and P-Matrices.
      Linear and Multilinear Algebra, 38 : 233-239, 1995.
     
  • J.J. McDonald, M. Neumann, H. Schneider, and M. Tsatsomeros.
       Inverse M-Matrix Inequalities and Generalized Ultrametric Matrices.
      Linear Algebra and its Applications, 220 : 321-341, 1995.
     
  • C.R. Johnson, D.D. Olesky, M. Tsatsomeros, and P. van den Driessche.
       An Identity for the Determinant.
      Linear and Multilinear Algebra, 36 : 189-194, 1994.
     
  • D.D. Olesky, M. Tsatsomeros, and P. van den Driessche.
       Qualitative Controllability and Uncontrollability by a Single Entry.
      Linear Algebra and its Applications, 187 : 183-194, 1993.
     
  • M. Tsatsomeros, J.S. Maybee, D.D. Olesky, and P. van den Driessche.
       Nullspaces of Matrices and Their Compounds.
      Linear and Multilinear Algebra, 34 : 291-300, 1993.
     
  • C.R. Johnson, D.D. Olesky, M. Tsatsomeros, and P. van den Driessche.
       Spectra with Positive Elementary Symmetric Functions.
      Linear Algebra and its Applications, 180 : 247-262, 1993.
     
  • J.S. Maybee, D.D. Olesky, M. Tsatsomeros, and P. van den Driessche.
       Combinatorial Eigenvalues of Matrices.
      Linear Algebra and its Applications, 175 : 213-224, 1992.
     
  • M. Neumann and M. Tsatsomeros.
       Symbiosis Points for Linear Differential Systems.
      Linear and Multilinear Algebra, 30 : 49-59, 1991. [References]
     
  • M. Neumann, R.J. Stern, and M. Tsatsomeros.
       The Reachability Cones of Essentially Nonnegative Matrices.
      Linear and Multilinear Algebra, 28 : 213-224, 1991. [References]
     
  • R.J. Stern and M. Tsatsomeros.
       Extended M-Matrices and Subtangentiality.
      Linear Algebra and its Applications, 97 : 1-11, 1987.
  •  SELECTED PRESENTATIONS
  • An Envelope for the Spectrum of a Matrix   (SIAM/ALA, Valencia 2012).
  • Perron-Frobenius Theory and Positivity in Linear Algebra (in honour of Hans Schneider)   (ALA, Novi Sad 2010).
  • Spectrum localization for almost skew-symmetric matrices   (BIRS, Banff 2003).
  • Generating and detecting matrices with positive principal minors   (ILAS, Auburn 2002).
  • Since Ancient Greece   (A power point presentation on two "modern" era Greek mathematicians).

     EDITORSHIP