2012•Journal of Hefei University of TechnologyRequires access

A set of new criteria for generalized strictly diagonally dominant matrix

Zhijie Yuan

Abstract

Generalized strictly diagonally dominant matrix is a kind of special matrix which has important application in mathematics,physics,control theory,economics and many other fields.According to the α-diagonally dominant matrices,some sufficient conditions for generalized strictly diagonally dominant matrices are obtained,and some related results are improved.The effectiveness of the study is illustrated by numerical examples.

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Key concepts: Diagonally dominant matrix, Mathematics, Matrix (chemical analysis), Diagonal, Pure mathematics, Matrix splitting, Algebra over a field, Applied mathematics