Some Discriminant Conditions for Nonsingular H -matrix

Journal of Liaoning Petrochemical University ›› 2007, Vol. 27 ›› Issue (2): 80-83.

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Some Discriminant Conditions for Nonsingular H -matrix

School of Science , Liaoning University of Petroleum &Chemical Technology ,
Fushun Liaoning 113001, P .R .China

Received:2006-11-16 Published:2007-06-20 Online:2017-07-05

非奇异H -矩阵的几个判别条件

崔　琦, 宋岱才^＊

辽宁石油化工大学理学院, 辽宁抚顺113001

作者简介:崔琦(1982 -), 女, 辽宁朝阳市, 在读硕士。
基金资助:
辽宁石油化工大学重点学科建设资助项目(K200409)。

Abstract

Abstract:

　 By using concepts and properties of the Ostrow ski diagonally dominant matrices , irreducible Ostrow ski diagonally dominant mat rices and generalized Ostrowski diagonally dominant matrices, several sufficient conditions for a nonsingular H - matrix were given .The conditions enriches the theory of Ostrow ski diagonally dominant matrices and nonsingular H -matrix , which provides theory's base for relative fields' research such as matrix theory , control theory , mathematical economics and so on .

Key words: No nsingular H -matrix, , Irreducible matrix, , Generalized strictly Ostrow ski diagonally dominant matrices

摘要： 利用Ostrow ski 对角占优矩阵、不可约Ostr ow ski 对角占优矩阵、广义Ostrowski 对角占优矩阵等概念及性质, 给出了非奇异H -矩阵几个简洁的判定条件。进一步丰富和完善了Ostrowski 对角占优矩阵与判别非奇异H -矩阵的理论, 为相关领域如矩阵论、控制论、经济数学等提供了理论研究基础。

关键词: 　非奇异H -矩阵, 　不可约矩阵, 　广义严格Ostroyw ski 对角占优矩阵

CUI Qi,SONG Dai -cai . Some Discriminant Conditions for Nonsingular H -matrix[J]. Journal of Liaoning Petrochemical University, 2007, 27(2): 80-83.

崔　琦, 宋岱才＊. 非奇异H -矩阵的几个判别条件[J]. 辽宁石油化工大学学报, 2007, 27(2): 80-83.

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Some Discriminant Conditions for Nonsingular H -matrix

非奇异H -矩阵的几个判别条件

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