| 非奇H-矩阵的一个简捷判据 |
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| 引用本文： | 裴芳芳,宋岱才,田秋菊.非奇H-矩阵的一个简捷判据[J].辽宁石油化工大学学报,2009,29(2). |
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| 作者姓名： | 裴芳芳 宋岱才 田秋菊 |
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| 作者单位： | 辽宁石油化工大学理学院,辽宁抚顺,113001 |
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| 基金项目： | 辽宁省教育厅高等学校科学研究项目 |
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| 摘 要： | 设A=(aij)∈Cn×n,若存在α∈(0,1),使i∈N={1,2,…,n},|aii|≥Riα(A)Si1-α(A),则称A为Ostrowski对角占优矩阵。首先推广Ostrowski对角占优矩阵的概念到广义Ostrowski对角占优矩阵;最后得到了判别非奇异H-矩阵的一个判定方法。进一步丰富和完善了Ostrowski对角占优矩阵和非奇异H-矩阵的理论,为计算数学、矩阵论、控制论、经济数学等相关领域的研究奠定了坚实的基础。
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| 关 键 词： | 非奇异H-矩阵 严格Ostrowski对角占优矩阵 广义严格Ostrowski对角占优矩阵 |
A Simple Criterion for Nonsingular H-Matrix |
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| PEI Fang-fang,SONG Dai-cai,TIAN Qiu-ju.A Simple Criterion for Nonsingular H-Matrix[J].Journal of Liaoning University of Petroleum & Chemical Technology,2009,29(2). |
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| Authors: | PEI Fang-fang SONG Dai-cai TIAN Qiu-ju |
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| Affiliation: | School of Sciences;Liaoning University of Petroleum & Chemical Technology;Fushun Liaoning 113001;P.R.China |
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| Abstract: | Let A=(aij)∈Cn×n,if there exists α∈(0,1) which can make |aii|≥Rαi(A)S1-αi(A) be right for i∈N={1,2,…,n},then A is called an Ostrowski diagonally dominant matrix.We extended the concept to generalized Ostrowski diagonally dominant matrix,and obtained a new criteria conditions for a matrix to be a nonsingular H-matrix.The theory of Ostrowski diagonally dominant matrix and nonsingular H-matrix was improved and completed.These conclusions provide strong basis for the research of relative fields,such as computational mathematics,matrix theory,control theory,mathematical economics,etc. |
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| Keywords: | Nonsingular H-matrix Strictly Ostrowski diagonally dominant matrix Generalized strictly Ostrowski diagonally dominant matrix |
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