广义H-矩阵的一组新判定条件  

A set of new determinate conditions for generalized H-matrices

作　　者：崔静静[1] 彭国华[1] 陆全[1] 徐仲[1] 

机构地区：[1]西北工业大学应用数学系,陕西西安710072

出　　处：《高校应用数学学报（A辑）》2017年第3期361-370,共10页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(10802068)

摘　　要：利用矩阵指标集的k-级划分和子矩阵的谱半径,给出了正定条件下广义H-矩阵的一组判定条件,当块矩阵退化为点矩阵时,这些条件即为非奇异H-矩阵的充分条件.这些结果改进了近期的相关结果,并用数值算例说明本文判定条件的有效性.By using k-partition of matrices index set and the spectral radius for its sub-matrices, some new determinant conditions for generalized H-matrices under positive definite matrix conditions were presented. When a block matrix reduces a point matrix, these conditions then become the sufficient conditions for nonsingular H-matrices, and improve some recent related results. Numerical examples are given to show the effectiveness of the corresponding results.

关 键 词：广义H-矩阵 HERMITE正定矩阵 谱半径 

分 类 号：O151.21[理学—数学]