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

 EDUCATION

 RESEARCH INTERESTS  

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

 GRANTS/AWARDS

 PUBLICATIONS

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To request a hard copy of a paper send me an e-mail.

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

  • D. Noutsos and M.J. Tsatsomeros.
       Reachability and holdability of nonnegative states
       To appear in SIAM Journal on Matrix Analysis and Applications. [pdf]
     
  • K. Griffin, J. Stuart, and M. Tsatsomeros.
       Noncirculant Toeplitz Matrices All of Whose Powers are Toeplitz.
       To appear in Chzechoslovak Mathematical Journal. [pdf]
     
  • O. Slyusareva and M. Tsatsomeros.
       Mapping and Preserver Properties of the Principal Pivot Transform.
       Linear and Multilinear Algebra, 56(3):279-292, 2008. [pdf]
  • 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. [pdf]
     
  • K. Griffin and M. Tsatsomeros.
      Principal Minors, Part II: The Principal Minor Assignment Problem.
       Linear Algebra and its Applications, 419:125-171, 2006. [pdf]
    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. [ps] [pdf] @ ELA.
     
  • 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. [pdf]
  • 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. [pdf]
  • V. Monov and M. Tsatsomeros.
       On Reducing and Deflating Subspaces of Matrices.
      Electronic Journal of Linear Algebra, 11 : 246-257, 2004. [ps] [pdf] @ ELA
     
  • 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. [ps]
     
  • V. Monov and M. Tsatsomeros.
       A Criterion for Reducibility of Matrices.
      Cybernetics and Information Technologies, 4(2):60--68, 2004. [pdf]
     
  • J.J. McDonald, P.J. Psarrakos and M.J. Tsatsomeros.
      Almost Skew-Symmetric Matrices.
       Rocky Mountain Journal of Mathematics, 34:269-288, 2004. [pdf]
     
  • 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. [pdf]
  • 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. [ps] [pdf]
     
  • 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. [pdf]
     
  • 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. [ps]
  • 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. [ps] [pdf] @ ELA.
     
  • P.J. Psarrakos and M.J. Tsatsomeros.
      On the Stability Radius of Matrix Polynomials.
      Linear and Multilinear Algebra, 50 : 151-165, 2002. [ps] [pdf]
     
  • 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. [pdf]
  • 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. [pdf] [dvi]
     
  • M. Tsatsomeros.
      Matrices with a Common Non-trivial Invariant Subspace.
      Linear Algebra and its Applications, 322 : 51-59, 2001. [pdf] [dvi]
     
  • Contributing author: Dictionary of Algebra, Arithmetic and Trigonometry,
      volume in the Comprehensive Dictionary of Mathematics,
      Steven G. Krantz, Editor, CRC Press, Boca Raton, 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. [pdf]
     
  • 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. [ps] [pdf] @ ELA
     
  • 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. [pdf] [dvi]
     
  • M. Tsatsomeros.
      Principal Pivot Transforms: Properties and Applications.
      Linear Algebra and its Applications, 307 : 151-165, 2000. [
    pdf] [dvi]
     
  • M. Tsatsomeros and L. Li.
      A Recursive Test for P-Matrices.
      BIT Numerical Mathematics, 40(2) : 404-408, 2000. [
    pdf]
     
  • 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. [ ps] [ pdf] @ ELA
  • 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. [pdf] [dvi]
  • J.J. McDonald, R. Nabben, M. Neumann, H. Schneider, and M. Tsatsomeros.
      Inverse Tridiagonal Z-Matrices.
      Linear and Multilinear Algebra, 45 : 75-97, 1998. [pdf] [dvi]
     
  • 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. [ ps] [ pdf] @ ELA
     
  • M. Tsatsomeros.
      Sign Controllability: Sign Patterns That Require Complete Controllability.
      SIAM Journal on Matrix Analysis and Applications, 19 : 355-364, 1998. [pdf] [dvi]
     
  • 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. [
    pdf] [dvi]
  • 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. [pdf] [dvi]
     
  • B. Li and M. Tsatsomeros.
      Doubly Diagonally Dominant Matrices.
      Linear Algebra and its Applications, 261 : 221-235, 1997. [pdf] [dvi]
  • S. Kirkland, J.J. McDonald, and M. Tsatsomeros.
      Sign Patterns that Require Positive Eigenvalues.
      Linear and Multilinear Algebra, 41 : 199-210, 1996. [pdf] [dvi]
     
  • 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. [pdf] [dvi]
     
  • C.R. Johnson, M. Neumann, and M. Tsatsomeros.
      Conditions for the Positivity of Determinants.
      Linear and Multilinear Algebra, 40 : 241-248, 1996. [pdf] [dvi]
  • C.R. Johnson and M. Tsatsomeros.
      Convex Sets of Nonsingular and P-Matrices.
      Linear and Multilinear Algebra, 38 : 233-239, 1995. [pdf] [dvi]
     
  • 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. [pdf] [dvi]
  • 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. [pdf] [dvi]
  • 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. [pdf] [dvi]
     
  • 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. [pdf] [dvi]
     
  • 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. [pdf] [dvi]
  • 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. [pdf] [dvi]
     
  • M. Neumann and M. Tsatsomeros.
      Symbiosis Points for Linear Differential Systems.
      Linear and Multilinear Algebra, 30 : 49-59, 1991. [pdf] [dvi] [references]
     
  • M. Neumann, R.J. Stern, and M. Tsatsomeros.
      The Reachability Cones of Essentially Nonnegative Matrices.
      Linear and Multilinear Algebra, 28 : 213-224, 1991. [pdf] [dvi] [references]
     
  • R.J. Stern and M. Tsatsomeros.
      Extended M-Matrices and Subtangentiality.
      Linear Algebra and its Applications, 97 : 1-11, 1987. [pdf]

     PRESENTATIONS

  • 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).

     PROFESSIONAL ACTIVITIES

     Editorship

     Refereeing/Reviewing