加权极分解(英文)

作者：杨虎; 李寒宇

来源：数学研究与评论, 2009, 787-798.

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

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.