非奇异H-矩阵的迭代判定  

Iterative Criteria for Nonsingular H-Matrices

作　　者：李敏[1] 桑海风[1] 龚言 刘畔畔[1] 王美娟 LI Min;SANG Haifeng;GONG Yan;LIU Panpan;WANG Meijuan(College of Mathematics and Statistics,Beihua University,Jilin 132013,Jilin Province,China;College of Mathematics,Jilin University,Changchun 130012,China)

机构地区：[1]北华大学数学与统计学院,吉林吉林132013 [2]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2022年第3期597-603,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11701013);吉林省教育厅科学技术研究项目(批准号:JJKH20170022KJ);吉林省教育科学“十三五”规划一般项目(批准号:GH19057).

摘　　要：首先,根据α-对角占优矩阵理论,对矩阵的行指标集进行恰当划分;其次,通过选择递进迭代系数构造正对角矩阵,从而给出广义严格α-对角占优矩阵的判定条件,进而得到非奇异H-矩阵的判定准则.数值算例结果表明,该判定准则有效.Firstly,we properly divided the row index sets of the matrix by utilizing the theory ofα-diagonally dominant matrices.Secondly,by selecting the progressive coefficients to construct the positive diagonal matrix,we gave some determination conditions of generalized strictlyα-diagonally dominant matrices,and then some determination criteria for nonsingular H-matrices were obtained.A numerical example shows that these determination criteria are effective.

关 键 词：对角占优矩阵 Α-对角占优矩阵 非奇异H-矩阵 

分 类 号：O151.21[理学—数学]