2007•Gongcheng shuxue xuebaoRequires access

Criteria for Generalized Strictly Diagonally Dominant Matrices and Nonsingular M-matrices

Jianzhou Liu

Abstract

By using the properties of α-chain diagonally dominant matrices and applying some tech-niques for inequalities,we obtain in this paper some criteria for generalized strictly diagonally dominant matrices and nonsingular M-matrices,which improve current results. Finally,we provide a numerical example to illustrate the validity of our results.

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Key concepts: Diagonally dominant matrix, Invertible matrix, Mathematics, Diagonal, Pure mathematics, Algebra over a field, Geometry