M-P逆在加法扰动下半正定极因子的扰动界  

Perturbation Bounds for Semi-positive Definite Polar Factor of M-P Inverse under Additive Noise

作　　者：文伟[1] 

机构地区：[1]茂名职业技术学院基础部,广东茂名525000

出　　处：《长春师范学院学报（自然科学版）》2009年第1期5-7,共3页Journal of Changchun Teachers College

摘　　要：设A∈Cmr×n,~A∈Cmr×n,则A+∈Crn×m,~A+∈Cnr×m.A+和~A+的广义极分解分别是A+=QH与~A+=~Q^H,其中H与~H为n×m次酉矩阵,利用奇异值分解的方法,给出了Moore-Penrose广义逆矩阵A+在酉不变范数‖.‖下半正定极因子的扰动界.Let A∈Cτ^m×n and ^~A∈Cτ^m×n,then A^＋∈Cτ^n×m and ^~A∈Cτ^n×m. The generalized polar decompositions of A^＋ and A^＋=QH and ^~A^＋=^~Q^~H respectively.The H and ^~H are n×m sub - unitary matrix. With the singular value decomposition, the perturbation bounds for semi - positive defmite polar factor of Moore - Penrose generalized inverse matrix A^＋ under unitarily invariant norm ‖·‖ are obtained.

关 键 词：Moore—Penrose广义逆矩阵 广义极分解 半正定极因子 奇异值分解 扰动界 

分 类 号：O151.21[理学—数学]