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J4 ›› 2011, Vol. 49 ›› Issue (02): 218-222.

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New Criteria for Generalized Strictly DiagonllyDominant Matrices

TAI Zhiyan¹, LI Qingchun^2

1. Department of Mathematics, Jilin Medical College, Jilin 132013, Jilin Province, China;2. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China

Received:2010-05-06 Online:2011-03-26 Published:2011-06-14
Contact: LI Qingchun E-mail:liqingchun01@163.com

Abstract

Abstract:

Based on the properties of α-chain diagonlly dominant matrices, several new sufficient conditions to determine generalized strictly diagonlly dominant matrices were given by means of some techniques for inequalities and a method for finding positive diagonal matrix factors, and thus the corresponding results are improved and generalized. A numerical example was given to show the advantages of our new criteria.

Key words: diagonlly dominant matrices； α-chain diagonlly dominant matrices, nonzero elements chain； positive diagonally matrices

CLC Number:

O151.21

TAI Zhi-Yan, LI Qiang-Chun. New Criteria for Generalized Strictly DiagonllyDominant Matrices[J].J4, 2011, 49(02): 218-222.

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New Criteria for Generalized Strictly DiagonllyDominant Matrices

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