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加权极分解
引用本文:杨虎,李寒宇.加权极分解[J].数学研究及应用,2009,29(5):787-798.
作者姓名:杨虎  李寒宇
作者单位:重庆大学数理学院, 重庆 400044;重庆大学数理学院, 重庆 400044
摘    要:In this paper, a new matrix decomposition called the weighted polar decomposition is considered. Two uniqueness theorems of weighted polar decomposition are presented, and the best approximation property of weighted unitary polar factor and perturbation bounds for weighted polar decomposition are also studied.

关 键 词:加权因子  极分解  唯一性定理  矩阵分解  最佳逼近  摄动界
收稿时间:2007/10/8 0:00:00
修稿时间:2008/10/6 0:00:00

Weighted Polar Decomposition
YANG Hu and LI Han Yu.Weighted Polar Decomposition[J].Journal of Mathematical Research with Applications,2009,29(5):787-798.
Authors:YANG Hu and LI Han Yu
Institution:College of Mathematics and Physics, Chongqing University, Chongqing 400044, China;College of Mathematics and Physics, Chongqing University, Chongqing 400044, China
Abstract:In this paper, a new matrix decomposition called the weighted polar decomposition is considered. Two uniqueness theorems of weighted polar decomposition are presented, and the best approximation property of weighted unitary polar factor and perturbation bounds for weighted polar decomposition are also studied.
Keywords:generalized polar decomposition  weighted polar decomposition  weighted unitary polar factor  weighted norm  perturbation bound  
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