非奇异H-矩阵的细分迭代判定  

Subdivided Iterative Criteria for Nonsingular H-Matrices

作　　者：李敏[1] 桑海风[1] 刘畔畔[1] 张丽军 LI Min SANG Haifeng LIU Panpan ZHANG Lijun(College of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China)

机构地区：[1]北华大学数学与统计学院,吉林吉林132013

出　　处：《吉林大学学报（理学版）》2017年第5期1101-1106,共6页Journal of Jilin University:Science Edition

基　　金：吉林省教育厅科学技术研究项目(批准号:JJKH20170022KJ;2015131)

摘　　要：利用α-对角占优矩阵理论对矩阵的行指标集进行细分,通过构造递进迭代系数构造正对角矩阵,给出广义严格α-对角占优矩阵的判定条件,得到了非奇异H-矩阵的细分迭代判定准则.数值实例表明,所给判定准则有效.Some subdivided line index sets of the matrix were given by using the theory ofα-diagonally dominant matrices.A positive diagonal matrix was constructed by constructing iterative coefficients.Some determination conditions of generalized strictlyα-diagonally dominant matrices were given,and some subdivided iterative criteria for nonsingular H-matrices were obtained.Numerical examples show that the given criteria are effective.

关 键 词：非奇异H-矩阵 Α-对角占优矩阵 判定准则 

分 类 号：O151.21[理学—数学]