2006•Gongcheng shuxue xuebaoRequires access

An Iterative Criterion for Generalized Diagonally Dominant Matrices

Qifang Su

Abstract

We prove a sufficient and necessary condition for matrices which are not generalized diagonally dominant matrices. Moreover, an iterative algorithm for matrices which are not generalized diagonally dominant matrices or not M-matrices is given, which makes the criteria for generalized diagonally dominant matrices and M-matrices more simple and effective in practice.

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Key concepts: Diagonally dominant matrix, Mathematics, Diagonal, Simple (philosophy), Matrix splitting, Matrix (chemical analysis), Applied mathematics, Combinatorics