Michael Tsatsomeros | Washington State University (original) (raw)
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Papers by Michael Tsatsomeros
Discrete Mathematics and Its Applications, 2013
Siam Journal on Matrix Analysis and Applications, Apr 1, 1998
A brief but concise review of methods to generate P-matrices (i.e., matrices having positive prin... more A brief but concise review of methods to generate P-matrices (i.e., matrices having positive principal minors) is provided and motivated by open problems on P-matrices and the desire to develop and test efficient methods for the detection of P-matrices. Also discussed are operations that leave the class of P-matrices invariant. Some new results and extensions of results regarding P-matrices are included.
SIAM Journal on Matrix Analysis and Applications, 1998
Linear Algebra and its Applications, 2000
Linear Algebra and its Applications, 2001
Linear Algebra and its Applications, 2012
Linear Algebra and Its Applications, Jun 15, 2002
Electronic Journal of Linear Algebra, 2014
Http Dx Doi Org 10 1080 03081080600821597, May 1, 2008
Electronic Journal of Linear Algebra, 1999
Electronic Journal of Linear Algebra, 2004
Electronic Journal of Linear Algebra, 2006
Applied Mathematics and Computation, 2014
Electronic Journal of Linear Algebra, 2000
Using the notions of the numerical range, Schur complement and unitary equivalence, an eigenvalue... more Using the notions of the numerical range, Schur complement and unitary equivalence, an eigenvalue inequality is obtained for a general complex matrix, giving rise to a region in the complex plane that contains its spectrum. This region is determined by a curve, generalizing and improving classical eigenvalue bounds obtained by the Hermitian and skew-Hermitian parts, as well as the numerical range of a matrix.
The problem of existence and characterization of non-trivial reducing subspaces for a given matri... more The problem of existence and characterization of non-trivial reducing subspaces for a given matrix is studied employing some basic tools of multilinear algebra. A criterion for reducibility of a single matrix is obtained which is also extended to the case of simultaneous reduction of two or more matrices.
Discrete Mathematics and Its Applications, 2013
Siam Journal on Matrix Analysis and Applications, Apr 1, 1998
A brief but concise review of methods to generate P-matrices (i.e., matrices having positive prin... more A brief but concise review of methods to generate P-matrices (i.e., matrices having positive principal minors) is provided and motivated by open problems on P-matrices and the desire to develop and test efficient methods for the detection of P-matrices. Also discussed are operations that leave the class of P-matrices invariant. Some new results and extensions of results regarding P-matrices are included.
SIAM Journal on Matrix Analysis and Applications, 1998
Linear Algebra and its Applications, 2000
Linear Algebra and its Applications, 2001
Linear Algebra and its Applications, 2012
Linear Algebra and Its Applications, Jun 15, 2002
Electronic Journal of Linear Algebra, 2014
Http Dx Doi Org 10 1080 03081080600821597, May 1, 2008
Electronic Journal of Linear Algebra, 1999
Electronic Journal of Linear Algebra, 2004
Electronic Journal of Linear Algebra, 2006
Applied Mathematics and Computation, 2014
Electronic Journal of Linear Algebra, 2000
Using the notions of the numerical range, Schur complement and unitary equivalence, an eigenvalue... more Using the notions of the numerical range, Schur complement and unitary equivalence, an eigenvalue inequality is obtained for a general complex matrix, giving rise to a region in the complex plane that contains its spectrum. This region is determined by a curve, generalizing and improving classical eigenvalue bounds obtained by the Hermitian and skew-Hermitian parts, as well as the numerical range of a matrix.
The problem of existence and characterization of non-trivial reducing subspaces for a given matri... more The problem of existence and characterization of non-trivial reducing subspaces for a given matrix is studied employing some basic tools of multilinear algebra. A criterion for reducibility of a single matrix is obtained which is also extended to the case of simultaneous reduction of two or more matrices.