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整环上矩阵的加权广义逆 被引量：4

Weighted Generalized Inverses of Matrices over Integral Domains
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摘要 研究了整环上矩阵的加权Moore-Penrose逆及其存在的充要条件.应用D.W.Robinson在(Linear Algebra Appl.,2005,411:254-276.)中的引理给出整环上的加权Moore-Penrose逆的表达式. In this article, weighted generalized Moore-Penrose inverses of Matrices over integral domains is defined and studied. Necessary and sufficient conditions for this kind of inverse to exist are given. By using a lemma of D. W. Robinson（ Linear Algebra Appl. ,2005,411：254-276） an expression of the generalized inverse is also given.
作者 王宏兴 刘晓冀
机构地区 广西民族大学数学与计算机科学学院 淮南师范学院数学系
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2009年第6期734-737,共4页 Journal of Sichuan Normal University（Natural Science）
基金 广西科学基金(0640016) 广西研究生教育创新计划基金(2007106080701M19) 安徽省高等学校优秀青年人才基金(2009SQRZ163ZD)资助项目
关键词 整环 子式 加权Moore—Penrose逆 Integral domain Subdeterminants Weighted Moore-Penrose inverse
分类号 O153.3 [理学—基础数学] O151.21 [理学—基础数学]
  • 相关文献

参考文献13

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共引文献14

同被引文献37

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  • 2岑建苗.关于长方矩阵的加权群逆的存在性[J].计算数学,2007,29(1):39-48. 被引量：15
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引证文献4

二级引证文献4

四川师范大学学报（自然科学版）
2009年 第6期

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