非奇异H-矩阵的新判据  

New conditions for nonsingular H-matrix

作　　者：崔润卿[1] 闫学华[1] 

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454000

出　　处：《郑州轻工业学院学报（自然科学版）》2014年第2期105-108,共4页Journal of Zhengzhou University of Light Industry:Natural Science

基　　金：河南省高等教育教学改革研究省级立项项目(2012SJGLX125)

摘　　要：针对判别一个矩阵是否为非奇异H-矩阵的实用而简便的判定条件较少的问题,从矩阵本身元素的性质出发,通过构造正对角矩阵,综合利用不等式的放缩技巧和非奇异H-矩阵的充分必要条件,推广和改进了一些判定定理,进而扩大了非奇异H-矩阵的判定范围.数值算例表明,新判据比原有结果有更广的应用范围.Aiming at the problem of fewer practical decision condition whether a matrix is nonsingular Hmatrix,based on the properties of matrix element itself,by constructing positive diagonal matrix and comprehensive utilization of inequality techniques and sufficient and necessary conditions of nonsingular H-matrix,some of the judgement theorem were expanded and improved. And the scope of judging nonsingular matrices was also expanded. The numerical example showed that the new criterion had wide range of application than the original results.

关 键 词：非奇异H-矩阵 Α-对角占优矩阵 广义严格α-对角占优矩阵 

分 类 号：O151.21[理学—数学]