Weighted Polar Decomposition
Hu Yang, Han Yu · Journal of Mathematical Research and Exposition · 2009
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.