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Irreducible sign k-potent sign pattern matrices

✍ Scribed by Jeffrey Stuart; Carolyn Eschenbach; Steve Kirkland

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
94 KB
Volume
294
Category
Article
ISSN
0024-3795

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✦ Synopsis

The sign pattern matrix A is called sign k-potent if k is the smallest positive integer for which e k1 eX We characterize the irreducible pattern matrices that are sign k-potent and provide a canonical form for such matrices.

πŸ“œ SIMILAR VOLUMES

Reducible sign k-potent sign pattern mat
Reducible sign k-potent sign pattern matrices
✍ Jeffrey Stuart πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 151 KB

The sign pattern matrix A is called sign k-potent if k is the smallest positive integer such that e k1 eX The structure of irreducible, sign k-potent pattern matrices was characterized by Stuart et al. (J. Stuart, C. Eschenbach, S. Kirkland, Linear Algebra Appl. 294 (1999) 85Β±92). We extend those re

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✍ C. Mendes AraΓΊjo; Juan R. Torregrosa πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 184 KB
Potentially nilpotent sign pattern matri
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✍ Carolyn A. Eschenbach; Zhongshan Li πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 128 KB

A sign pattern is said to be potentially nilpotent if it allows nilpotence. In this paper, a number of qualitative necessary or sufficient conditions for a sign pattern to allow nilpotence are established. The sign patterns that allow nilpotence of index 2 are investigated. For orders up to 3, poten