2010Journal of Jilin Institute of Chemical TechnologyRequires access

Sufficient conditions of block generalized diagonally dominant matrix

Cui Xiao-mei

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Abstract

Based on the concepts of block diagonally dominant matrix and block generalized diagonally dominant matrix,a new simple criterion for nonsingular block generalize diagonal dominant matrix is obtained.As an application,the sufficient conditions of inverse matrix are given.

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What this paper is about

Based on the concepts of block diagonally dominant matrix and block generalized diagonally dominant matrix,a new simple criterion for nonsingular block generalize diagonal dominant matrix is obtained.As an application,the sufficient conditions of inverse matrix are given.

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Available abstract

Based on the concepts of block diagonally dominant matrix and block generalized diagonally dominant matrix,a new simple criterion for nonsingular block generalize diagonal dominant matrix is obtained.As an application,the sufficient conditions of inverse matrix are given.

Key concepts: Diagonally dominant matrix, Invertible matrix, Block matrix, Mathematics, Block (permutation group theory), Matrix (chemical analysis), Band matrix, Diagonal

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