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Publications Influence

Principal pivot transforms: properties and applications

- M. Tsatsomeros
- Mathematics
- 23 July 1998

The principal pivot transform (PPT) is a transformation of the matrix of a linear system tantamount to exchanging unknowns with the corresponding entries of the right-hand side of the system. The… Expand

72 9- PDF

Generating and detecting matrices with positive principal minors

- M. Tsatsomeros
- Mathematics
- 2004

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… Expand

29 4- PDF

Ray patterns of matrices and nonsingularity

- J. McDonald, D. Olesky, M. Tsatsomeros, P. D. Driessche
- Mathematics
- 1 December 1997

A complex matrix A is ray-nonsingular if det(X 0 A) f 0 for every matrix X with positive entries. A sufficient condition for ray nonsingularity is that the origin is not in the relative interior of… Expand

28 4

Sign patterns that allow eventual positivity

- A. Berman, Minerva Catral, +8 authors P. D. Driessche
- Mathematics
- 2009

Several necessary or sufficient conditions for a sign patternto allow eventual posi- tivity are established. It is also shown that certain families of sign patterns do not allow eventual positivity.… Expand

28 4

Reachability and Holdability of Nonnegative States

- D. Noutsos, M. Tsatsomeros
- Computer Science, Mathematics
- SIAM J. Matrix Anal. Appl.
- 1 May 2008

TLDR

60 3- PDF

Inverse M-Matrix Inequalities and Generalized Ultrametric Matrices

- J. McDonald, M. Neumann, H. Schneider, M. Tsatsomeros
- Mathematics
- 15 April 1995

Abstract We use weighted directed graphs to introduce a class of nonnegative matrices which, under a simple condition, are inverse M-matrices. We call our class the generalized ultrametic matrices,… Expand

57 3- PDF

Inverses of Unipathic M-Matrices

- J. McDonald, M. Neumann, H. Schneider, M. Tsatsomeros
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 1 October 1996

TLDR

15 3- PDF

SIGN PATTERNS THAT REQUIRE EVENTUAL POSITIVITY OR REQUIRE EVENTUAL NONNEGATIVITY

- Elizabeth M. Ellison, L. Hogben, M. Tsatsomeros
- Mathematics
- 2009

It is shown that a square sign pattern A requires eventual positivity if and only if it is nonnegative and primitive. Let the set of vertices in the digraph of A that have access to a vertex s be… Expand

28 3- PDF

Noncirculant Toeplitz matrices all of whose powers are Toeplitz

- Kent Griffin, Jeffrey L. Stuart, M. Tsatsomeros
- Mathematics
- 24 December 2008

Let a, b and c be fixed complex numbers. Let Mn(a, b, c) be the n × n Toeplitz matrix all of whose entries above the diagonal are a, all of whose entries below the diagonal are b, and all of whose… Expand

7 3- PDF

Convex sets of nonsingular and P:–Matrices

- C. Johnson, M. Tsatsomeros
- Mathematics
- 1 March 1995

We show that the set r(A,B) (resp. c(A,B)) of square matrices whose rows (resp. columns) are independent convex combinations of

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