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Sign pattern matrices that admit -matrices

✍ Scribed by C. Mendes Araújo; Juan R. Torregrosa

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
184 KB
Volume
435
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

Sign pattern matrices that admit -, -, -
Sign pattern matrices that admit -, -, - or inverse -matrices
✍ C. Mendes Araújo; Juan R. Torregrosa 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 137 KB

In this paper we identify the sign pattern matrices that occur among the N-matrices, the P-matrices and the M-matrices. We also address to the class of inverse M-matrices and the related admissibility of sign pattern matrices problem.

Potentially nilpotent sign pattern matri
Potentially nilpotent sign pattern matrices
✍ Carolyn A. Eschenbach; Zhongshan Li 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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

Reducible sign k-potent sign pattern mat
Reducible sign k-potent sign pattern matrices
✍ Jeffrey Stuart 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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) 85±92). We extend those re

Irreducible sign k-potent sign pattern m
Irreducible sign k-potent sign pattern matrices
✍ Jeffrey Stuart; Carolyn Eschenbach; Steve Kirkland 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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.