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Some properties of matrices with signed null spaces

โœ Scribed by Jia-Yu Shao; Ling-Zhi Ren

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
240 KB
Volume
279
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

A matrix A is said to have signed null space provided there exists a set S of sign patterns such that the set of sign patterns of vectors in the null space of รƒ is S for each รƒ โˆˆ Q(A). It is a generalization of a number of important qualitative matrix classes such as L-matrices, S * -matrices, totally L-matrices, etc. In this paper, we obtain some new characterizations for matrices with signed null spaces. As applications, these results are used to obtain di erent proofs of some known properties and characterizations of matrices with signed null spaces, and are further used to study some special classes of matrices with signed null spaces.

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