### On a theorem of Everitt, Thompson, and de Pillis

Miroslav Fiedler, Thomas L. Markham (1994)

Mathematica Slovaca

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Miroslav Fiedler, Thomas L. Markham (1994)

Mathematica Slovaca

Similarity:

Raphael Loewy (2012)

Open Mathematics

Similarity:

Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.

Rufus Oldenburger (1940)

Compositio Mathematica

Similarity:

Miroslav Fiedler, Vlastimil Pták (1962)

Czechoslovak Mathematical Journal

Similarity:

Gerard Sierksma, Evert Jan Bakker (1986)

Compositio Mathematica

Similarity:

Charles R. Johnson, Robert B. Reams (2016)

Special Matrices

Similarity:

A copositive matrix A is said to be exceptional if it is not the sum of a positive semidefinite matrix and a nonnegative matrix. We show that with certain assumptions on A−1, especially on the diagonal entries, we can guarantee that a copositive matrix A is exceptional. We also show that the only 5-by-5 exceptional matrix with a hollow nonnegative inverse is the Horn matrix (up to positive diagonal congruence and permutation similarity).