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浙江大学学报(理学版)  2018, Vol. 45 Issue (3): 304-307    DOI: 10.3785/j.issn.1008-9497.2018.03.006
数学与计算机科学     
酉不变范数下{1,3}-和{1,4}-逆的扰动界
孟令胜
西北师范大学 数学与统计学院, 甘肃 兰州 730070
Perturbation bounds of {1,3}-and {1,4}-inverses under the unitarily invariant norm
MENG Lingsheng
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
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摘要: MENG等给出了{1,3}-和{1,4}-逆在谱范数和Frobenius范数下的加法和乘法扰动界,本文研究了{1,3}-和{1,4}-逆在一般的酉不变范数下的加法和乘法扰动界,所得结果推广和改进了已有文献中的相关结果.
关键词: 酉不变范数扰动界广义逆奇异值分解    
Abstract: The additive and multiplicative perturbation bounds of the {1,3}-and {1,4}-inverses under the spectral norm and Frobenius norm were derived by MENG et al. In this paper, the additive and multiplicative perturbation bounds of the {1,3}-and {1,4}-inverses under the general unitarily invariant norm are studied. The results extend and improve the corresponding results in the above paper.
Key words: unitarily invariant norm    perturbation bound    generalized inverse    singular value decomposition
收稿日期: 2017-01-13 出版日期: 2018-03-15
CLC:  O151.21  
基金资助: 国家自然科学基金资助项目(11701458);西北师范大学青年教师科研能力提升计划项目(NWNU-LKQN-16-15).
作者简介: 孟令胜(1984-),ORCID:http://orcid.org/0000-0003-0876-9730,男,博士,讲师,主要从事矩阵理论研究,E-mail:menglsh@nwnu.edu.cn.
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引用本文:

孟令胜. 酉不变范数下{1,3}-和{1,4}-逆的扰动界[J]. 浙江大学学报(理学版), 2018, 45(3): 304-307.

MENG Lingsheng. Perturbation bounds of {1,3}-and {1,4}-inverses under the unitarily invariant norm. Journal of Zhejiang University (Science Edition), 2018, 45(3): 304-307.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2018.03.006        https://www.zjujournals.com/sci/CN/Y2018/V45/I3/304

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