广义H-矩阵的一组判定条件  

A Set of Determinate Conditions for Generalized H-matrices

作　　者：崔静静[1] 陆全[1] 徐仲[1] 安晓虹[1] 

机构地区：[1]西北工业大学应用数学系

出　　处：《应用数学》2016年第2期298-304,共7页Mathematica Applicata

基　　金：国家自然科学基金(10802068)

摘　　要：广义H-矩阵在动力系统理论,流体动力学等领域有着广泛的应用.本文引入新参数,利用子矩阵的谱半径,给出正定条件下广义H-矩阵的一组判定方法,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.Generalized H-matrices has a wide range of applications in systems theory,fluid dynamics etc..In this paper,by introducing new parameters and using the sub-matrix＇s spectral radius,a new set of criteria for generalized H-matrices under positive definite matrix conditions are presented.When a block matrix degenerates a point matrix,these conditions then become nonsingular H-matrix＇s sufficient conditions.These conditions improve some recent related results.The effectiveness of these sufficient conditions is illustrated with numerical examples.

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]