Michael Tsatsomeros | Washington State University (original) (raw)

Michael Tsatsomeros

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Papers by Michael Tsatsomeros

Research paper thumbnail of The envelope of tridiagonal Toeplitz matrices and block-shift matrices

Research paper thumbnail of Skew-adjacency matrices of graphs

Research paper thumbnail of Matrix Equalities and Inequalities

Discrete Mathematics and Its Applications, 2013

Research paper thumbnail of Sign Controllability: Sign Patterns That Require Complete Controllability

Siam Journal on Matrix Analysis and Applications, Apr 1, 1998

Research paper thumbnail of Extended M-matrices

Research paper thumbnail of Generating and Detecting Matrices with Positive Principal Minors

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.

Research paper thumbnail of Sign Controllability: Sign Patterns That Require Complete Controllability

SIAM Journal on Matrix Analysis and Applications, 1998

Research paper thumbnail of Principal pivot transforms: properties and applications

Linear Algebra and its Applications, 2000

Research paper thumbnail of A criterion for the existence of common invariant subspaces of matrices

Linear Algebra and its Applications, 2001

Research paper thumbnail of In Memoriam: Michael (Miki) Neumann (1946–2011)

Linear Algebra and its Applications, 2012

Research paper thumbnail of Perron�Frobenius type results on the numerical range

Linear Algebra and Its Applications, Jun 15, 2002

Research paper thumbnail of Separable characteristic polynomials of pencils and property L

Electronic Journal of Linear Algebra, 2014

Research paper thumbnail of Mapping and preserver properties of the principal pivot transform

Http Dx Doi Org 10 1080 03081080600821597, May 1, 2008

Research paper thumbnail of On the relation between the numerical range and the joint numerical range of matrix polynomials

Electronic Journal of Linear Algebra, 1999

Research paper thumbnail of On reducing and deflating subspaces of matrices

Electronic Journal of Linear Algebra, 2004

Research paper thumbnail of An eigenvalue inequality and spectrum localization for complex matrices

Electronic Journal of Linear Algebra, 2006

Research paper thumbnail of On the geometry of the envelope of a matrix

Applied Mathematics and Computation, 2014

Research paper thumbnail of Separable characteristic polynomials of pencils and property L

Electronic Journal of Linear Algebra, 2000

Research paper thumbnail of Adam Tsatsomeros Ela 2006

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.

Research paper thumbnail of A criterion for reducibility of matrices

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.

Research paper thumbnail of The envelope of tridiagonal Toeplitz matrices and block-shift matrices

Research paper thumbnail of Skew-adjacency matrices of graphs

Research paper thumbnail of Matrix Equalities and Inequalities

Discrete Mathematics and Its Applications, 2013

Research paper thumbnail of Sign Controllability: Sign Patterns That Require Complete Controllability

Siam Journal on Matrix Analysis and Applications, Apr 1, 1998

Research paper thumbnail of Extended M-matrices

Research paper thumbnail of Generating and Detecting Matrices with Positive Principal Minors

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.

Research paper thumbnail of Sign Controllability: Sign Patterns That Require Complete Controllability

SIAM Journal on Matrix Analysis and Applications, 1998

Research paper thumbnail of Principal pivot transforms: properties and applications

Linear Algebra and its Applications, 2000

Research paper thumbnail of A criterion for the existence of common invariant subspaces of matrices

Linear Algebra and its Applications, 2001

Research paper thumbnail of In Memoriam: Michael (Miki) Neumann (1946–2011)

Linear Algebra and its Applications, 2012

Research paper thumbnail of Perron�Frobenius type results on the numerical range

Linear Algebra and Its Applications, Jun 15, 2002

Research paper thumbnail of Separable characteristic polynomials of pencils and property L

Electronic Journal of Linear Algebra, 2014

Research paper thumbnail of Mapping and preserver properties of the principal pivot transform

Http Dx Doi Org 10 1080 03081080600821597, May 1, 2008

Research paper thumbnail of On the relation between the numerical range and the joint numerical range of matrix polynomials

Electronic Journal of Linear Algebra, 1999

Research paper thumbnail of On reducing and deflating subspaces of matrices

Electronic Journal of Linear Algebra, 2004

Research paper thumbnail of An eigenvalue inequality and spectrum localization for complex matrices

Electronic Journal of Linear Algebra, 2006

Research paper thumbnail of On the geometry of the envelope of a matrix

Applied Mathematics and Computation, 2014

Research paper thumbnail of Separable characteristic polynomials of pencils and property L

Electronic Journal of Linear Algebra, 2000

Research paper thumbnail of Adam Tsatsomeros Ela 2006

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.

Research paper thumbnail of A criterion for reducibility of matrices

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.

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