𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonnegative Matrices That Are Similar to Positive Matrices

✍ Scribed by Laffey, Thomas J.; Loewy, Raphael; Šmigoc, Helena

Book ID
118212619
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
224 KB
Volume
31
Category
Article
ISSN
0895-4798

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On nonnegative matrices similar to posit
On nonnegative matrices similar to positive matrices
✍ Alberto Borobia; Julio Moro 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 764 KB

## We prove that 2" is star-shaped with respect to (1, 0, . . . , 0) and that (1, A,, . . . , A,) ~j" is on the boundary of 2" if and only if 11, A,, . . . , A,) is not the spectrum of any positive matrix. As a consequence, attention is given to the problem of determining which nonnegative matrice

A characterization of Jordan canonical f
A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices
✍ Boris G Zaslavsky; Judith J McDonald 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 282 KB

In this paper we give necessary and sufficient conditions for a matrix in Jordan canonical form to be similar to an eventually nonnegative matrix whose irreducible diagonal blocks satisfy the conditions identified by Zaslavsky and Tam, and whose subdiagonal blocks (with respect to its Frobenius norm