| 关于加权广义逆A+MN在F范数下的最优扰动界 |
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| 引用本文： | 申盼,张乃敏. 关于加权广义逆A+MN在F范数下的最优扰动界[J]. 温州大学学报(自然科学版), 2011, 32(4). DOI: 10.3875/j.issn.1674-3563.2011.04.002 |
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| 作者姓名： | 申盼 张乃敏 |
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| 作者单位： | 温州大学数学与信息科学学院,浙江温州,325035 |
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| 摘 要： | 利用加权奇异值分解技术和加权广义逆A+MN的性质,推广了有关文献关于广义逆A+在F范数下的最优扰动界的相关结论,分两种情况,给出了加权广义逆AMN+在F范数下的最优扰动界.
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| 关 键 词： | 加权广义逆 加权奇异值分解 F范数 扰动界 |
Study on Optimal Perturbation Bounds of Weighted Generalized Inverse A+MN under Frobenius Norm |
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| SHEN Pan,ZHANG Naimin. Study on Optimal Perturbation Bounds of Weighted Generalized Inverse A+MN under Frobenius Norm[J]. Journal of Wenzhou University Natural Science, 2011, 32(4). DOI: 10.3875/j.issn.1674-3563.2011.04.002 |
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| Authors: | SHEN Pan ZHANG Naimin |
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| Affiliation: | SHEN Pan,ZHANG Naimin(College of Mathematics and Information Science,Wenzhou University,Wenzhou,China 325035) |
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| Abstract: | Based on the weighted singular value decomposition and properties of weighted generalized inverse A_(MN)~+,conclusions in many documents about optimal perturbation bounds of generalized inverse A+ were further introduced.Furthermore,from two aspects,the optimal perturbation bound of weighted generalized inverse A_(MN)~+ under the Frobenius norm was analyzed and obtained. |
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| Keywords: | Weighted Generalized Inverse Weighted Singular Value Decomposition Frobenius Norm Perturbation Bound |
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