Sufficient conditions of block generalized diagonally dominant matrix
Cui Xiao-mei
Abstract
Cui Xiao-mei
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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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