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Currently displaying 1 – 8 of 8

Order by Relevance | Title | Year of publication

On the Cayley transform of positivity classes of matrices.

Fallat, Shaun M.; Tsatsomeros, Michael J. — 2002

ELA. The Electronic Journal of Linear Algebra [electronic only]

An eigenvalue inequality and spectrum localization for complex matrices.

Adam, Maria; Tsatsomeros, Michael J. — 2006

ELA. The Electronic Journal of Linear Algebra [electronic only]

Separable characteristic polynomials of pencils and property $L$ .

Maroulas, John; Psarrakos, Panayiotis J.; Tsatsomeros, Michael J. — 2000

ELA. The Electronic Journal of Linear Algebra [electronic only]

Sign patterns that require eventual positivity or require eventual nonnegativity.

Ellison, Elisabeth M.; Hogben, Leslie; Tsatsomeros, Michael J. — 2009

ELA. The Electronic Journal of Linear Algebra [electronic only]

M $_{\lor}$ -matrices: a generalization of M-matrices based on eventually nonnegative matrices.

Olesky, Dale D.; Tsatsomeros, Michael J.; van den Driessche, Pauline — 2009

ELA. The Electronic Journal of Linear Algebra [electronic only]

$Z$ -pencils.

McDonald, Judith J.; Olesky, D.Dale; Schneider, Hans; Tsatsomeros, Michael J.; van den Driessche, P. — 1998

ELA. The Electronic Journal of Linear Algebra [electronic only]

Sign patterns that allow eventual positivity.

Berman, Abraham; Catral, Minerva; Dealba, Luz Maria; Elhashash, Abed; Hall, Frank J.; Hogben, Leslie; Kim, In-Jae; Olesky, Dale D.; Tarazaga, Pablo; Tsatsomeros, Michael J.; van den Driessche, Pauline — 2009

ELA. The Electronic Journal of Linear Algebra [electronic only]

Noncirculant Toeplitz matrices all of whose powers are Toeplitz

Kent Griffin; Jeffrey L. Stuart; Michael J. Tsatsomeros — 2008

Czechoslovak Mathematical Journal

Let $a$ , $b$ and $c$ be fixed complex numbers. Let $M_{n} (a, b, c)$ be the $n \times n$ Toeplitz matrix all of whose entries above the diagonal are $a$ , all of whose entries below the diagonal are $b$ , and all of whose entries on the diagonal are $c$ . For $1 \leq k \leq n$ , each $k \times k$ principal minor of $M_{n} (a, b, c)$ has the same value. We find explicit and recursive formulae for the principal minors and the characteristic polynomial of $M_{n} (a, b, c)$ . We also show that all complex polynomials in $M_{n} (a, b, c)$ are Toeplitz matrices. In particular, the inverse of $M_{n} (a, b, c)$ is a Toeplitz matrix when...

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