Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem (Q2496654)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem |
scientific article |
Statements
Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem (English)
0 references
20 July 2006
0 references
The authors extend a realizability criterion presented by \textit{H. Perfect} [Duke Math. J. 22, 305--311 (1955; Zbl 0068.32704)] for the real nonnegative inverse eigenvalue problem. This new criterion strictly contains the realizability criterion due to \textit{R. L. Soto} [Linear Algebra Appl. 369, 169--184 (2003; Zbl 1031.15018)]. Realizability criteria for the \(5\times 5\) nonnegative inverse eigenvalue problem and in the symmetric case for one of the unsolved cases of \textit{P. D. Egleston, T. D. Lenker} and \textit{S. K. Narayan} [Linear Algebra Appl. 379, 475--490 (2004; Zbl 1040.15009)] and illustrative examples are provided.
0 references
real nonnegative inverse eigenvalue problem
0 references
realizability criterion
0 references
0 references
0 references
0 references
