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Sign idempotent sign patterns similar to nonnegative sign patterns

โœ Scribed by Rong Huang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
126 KB
Volume
428
Category
Article
ISSN
0024-3795

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By a nonnegative sign pattern we mean a matrix whose entries are from the set { +, 0). A nonnegative sign pattern A is said to allow normality if there is a normal matrix B whose entries have signs indicated by A. In this paper the combinatorial structure of nonnegative normal matrices, in particula

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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) 85ยฑ92). We extend those re

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โœ Jeffrey Stuart; Carolyn Eschenbach; Steve Kirkland ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

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.