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Potentially nilpotent sign pattern matrices

✍ Scribed by Carolyn A. Eschenbach; Zhongshan Li

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
128 KB
Volume
299
Category
Article
ISSN
0024-3795

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✦ Synopsis

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, potentially nilpotent sign patterns are characterized. Potentially nilpotent tree sign patterns are also explored.

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