Invertibility conditions for block matrices and estimates for norms of inverse matrices

M. I. Gil

doi:10.1216/rmjm/1181075466

Invertibility conditions for block matrices and estimates for norms of inverse matrices

M. I. Gil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A nonsingularity criterion for block matrices is derived. It improves the well-known results in the case of matrices which are “close” to block triangular ones. Moreover, an estimate for the norm of the inverse matrices is derived.

Original language	English
Pages (from-to)	1323-1335
Number of pages	13
Journal	Rocky Mountain Journal of Mathematics
Volume	33
Issue number	4
DOIs	https://doi.org/10.1216/rmjm/1181075466
State	Published - 1 Jan 2003

Keywords

Block matrices
Nonsingularity

ASJC Scopus subject areas

General Mathematics

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10.1216/rmjm/1181075466

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abstract = "A nonsingularity criterion for block matrices is derived. It improves the well-known results in the case of matrices which are “close” to block triangular ones. Moreover, an estimate for the norm of the inverse matrices is derived.",

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Invertibility conditions for block matrices and estimates for norms of inverse matrices

Abstract

Keywords

ASJC Scopus subject areas

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