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Ostrowski定理的推广与非奇异H-矩阵的实用判定
引用本文:韩贵春,钱茜,张俊丽.Ostrowski定理的推广与非奇异H-矩阵的实用判定[J].纯粹数学与应用数学,2013(6):601-608.
作者姓名:韩贵春  钱茜  张俊丽
作者单位:内蒙古民族大学数学学院,内蒙古 通辽,028043;电子科技大学成都学院文理系,四川 成都,611731
基金项目:内蒙古民族大学科学研究基金(NMD1226).
摘    要:利用α2-双对角占优理论,给出了几个判定非奇异H-矩阵的充分条件,扩大了非奇异H-矩阵的判定范围,并给出了相应的数值算例说明结果的有效性.

关 键 词:非奇异H-矩阵  双对角占优矩阵  非零元素链

Generalizations Ostrowski/s theorem and practical criteria for H-matrices
Han Guichun,Qian Qian,Zhang Junli.Generalizations Ostrowski/s theorem and practical criteria for H-matrices[J].Pure and Applied Mathematics,2013(6):601-608.
Authors:Han Guichun  Qian Qian  Zhang Junli
Institution:1 (1. School of Mathematics, Inner Mongolia University for the Nationalities, Tongliao 028043, China; 2. Department of Arts and Science, College of University of Electronic Science and Technology of China, Chengdu 611731, China)
Abstract:In this paper, we give some sufficient conditions for nonsingu!ar H- matrices by the theory of a2- double diagonally dominant matrices. The criteria for nonsingular H- matrices are expended, and effectiveness of the criteria is illustrated by numerical examples
Keywords:nonsingular H- matrix  double diagonally dominant matrix  chain of nonzero elements
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