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.
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
generalized polar decomposition
weighted polar decomposition
weighted unitary polar factor
weighted norm
perturbation bound.
