| 长方矩阵加权群逆的扰动及其计算 |
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| 引用本文： | 武玲玲,刘晓冀.长方矩阵加权群逆的扰动及其计算[J].四川师范大学学报(自然科学版),2011,34(4):479-483. |
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| 作者姓名： | 武玲玲 刘晓冀 |
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| 作者单位： | 广西民族大学数学与计算机科学学院,广西南宁,530006 |
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| 基金项目： | 国家自然科学基金(11061005); 教育部科技重点基金(210164); 广西自治区研究生创新基金(2010106080701M371)资助项目 |
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| 摘 要： | 研究矩阵加权群逆的扰动,利用加权群逆的性质给出了扰动矩阵群逆存在的充要条件和表达式,同时得到了加权群逆的扰动界,推广了以往的相应结果.
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| 关 键 词： | 加权群逆 长方矩阵 扰动 |
Perturbation and Its Computation of Weighted Group Inverse of a Rectangular Matrix |
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| WU Ling-ling,LIU Xiao-ji.Perturbation and Its Computation of Weighted Group Inverse of a Rectangular Matrix[J].Journal of Sichuan Normal University(Natural Science),2011,34(4):479-483. |
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| Authors: | WU Ling-ling LIU Xiao-ji |
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| Institution: | WU Ling-ling,LIU Xiao-ji(College of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006,Guangxi) |
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| Abstract: | In this paper,perturbation and its computation of weighted group inverse of a rectangular matrix are disscussed.Some sufficient and necessary conditions for the weighted group inverse of a perturbed matrix to exist are proved.Its expressions and the perturbation bounds are given.Some corresponding results are generalized. |
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| Keywords: | weighted group inverse rectangular matrics perturbation |
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