矩阵广义逆新的扰动上界  

New perturbation bounds of generalized inverse

作　　者：孔祥强[1] 

机构地区：[1]菏泽学院数学系,山东菏泽274000

出　　处：《纯粹数学与应用数学》2012年第4期516-522,共7页Pure and Applied Mathematics

基　　金：山东省统计局重点课题项目(KT11048);山东省教育科学"十二五"规划重点课题项目(2011GG049)

摘　　要：利用矩阵的奇异值分解方法,研究了矩阵广义逆的扰动上界,得到了在F-范数下矩阵广义逆的扰动上界定理,所得定理推广并彻底改进了近期的相关结果.相应的数值算例验证了定理的有效性.Using the singular value decomposition method, the paper studies the perturbation bounds of the generalized inverse. In this paper, some theorems for perturbation bounds of the generalized inverse are obtained according to the Frobenius norm, some related results are improved. Advantages of results obtained are illustrated by a numerical example.

关 键 词：广义逆 奇异值分解 FROBENIUS范数 扰动 

分 类 号：O241.6[理学—计算数学]