加权极分解

Weighted Polar Decomposition

中文关键词:  广义极分解  加权极分解  加权酉极因子  加权范数  扰动界.

英文关键词:generalized polar decomposition  weighted polar decomposition  weighted unitary polar factor  weighted norm  perturbation bound.

中文摘要:

      本文研究了一种新的矩阵分解---加权极分解,给出了关于该分解的两个唯一性定理,同时,本文也研究了加权酉极因子的最佳逼近性质及加权极分解的扰动界.

英文摘要:

      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.