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Number of nonzero entries of S2NS matrices and matrices with signed generalized inverses

โœ Scribed by Jia-Yu Shao; Jin-Ling He; Hai-Ying Shan

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
146 KB
Volume
373
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

A real matrix A has a signed generalized inverse (or signed GI), if the sign pattern of its generalized inverse A + is uniquely determined by the sign pattern of A. The notion of matrices having signed GI's is a generalization of the well known notion of strong SNS matrices (or S 2 NS matrices). Sharp bounds, and characterization of equality, for the number of nonzero entries of S 2 NS matrices of order n are given. Then sharp bounds, and characterization of equality, for the number of nonzero entries of m ร— n matrices with signed GI's are given.

๐Ÿ“œ SIMILAR VOLUMES

On group inverses of M-matrices with uni
On group inverses of M-matrices with uniform diagonal entries
โœ Stephen J. Kirkland; Michael Neumann ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 146 KB

In two recent works the condition of the diagonal entries of the group inverse of a singular and irreducible M-matrix being uniform (constant) has arisen: in resistive electrical circuits and in the eect upon the Perron root of certain diagonal perturbation of a nonnegative matrix. In this paper we