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广义非负与正极因子的乘法扰动界
引用本文:李寒宇,杨虎,邵华.广义非负与正极因子的乘法扰动界[J].应用数学学报,2009,32(5).
作者姓名:李寒宇  杨虎  邵华
作者单位:1. 重庆大学数理学院,重庆,400044
2. 重庆科技学院数理系,重庆,401331
基金项目:重庆大学"211工程"三期创新人才培养计划建设 
摘    要:本文在乘法扰动下研究了加权极分解的广义非负极因子与广义正极因子的扰动界,同时,作为特殊情形,也获得了广义极分解与极分解的非负极因子与正极因子的乘法扰动界.

关 键 词:加权极分解  广义非负极因子  广义正极因子  扰动界

Multiplicative Perturbation Bounds for Generalized Nonnegative and Positive Polar Factors
LI HANYU,YANG HU,SHAO HUA.Multiplicative Perturbation Bounds for Generalized Nonnegative and Positive Polar Factors[J].Acta Mathematicae Applicatae Sinica,2009,32(5).
Authors:LI HANYU  YANG HU  SHAO HUA
Abstract:In this paper, we study the perturbation bounds for the generalized nonnegative and positive polar factors of weighted polar decomposition under multiplicative perturbation.Moreover, as the special cases, the corresponding perturbation bounds for nonnegative and positive polar factors are also presented.
Keywords:weighted polar decomposition  generalized nonnegative polar factor  generalized positive polar factor  perturbation bound
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