2015•Journal of Jilin University(Science Edition)Requires access

Equivalent Representations of α-Diagonally Dominant Matrix and Its Applications

Tai Zhiya

Abstract

Based on the theory of inequality,the necessary and sufficient conditions of strictlyα-diagonally dominant matrix were presented.According to the properties of strictlyα-diagonally dominant matrix,simple and practical criteria to judge nonsingular H-matrix were obtained.The validity and superiority of the results were verified by a numerical example.

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