Weighted Polar Decomposition
Weighted Polar Decomposition
In this paper, a new matrix decomposition called the weighted polar decomposition is considered based on extending the partial isometric matrix to the weighted partial isometric matrix. Two uniqueness theorems of the weighted polar decomposition are presented, and the best approximation property of the weighted unitary polar factor and perturbation bounds for the weighted unitary polar factor and the generalized positive semidefinite polar factors are also studied.
In this paper, a new matrix decomposition called the weighted polar decomposition is considered based on extending the partial isometric matrix to the weighted partial isometric matrix. Two uniqueness theorems of the weighted polar decomposition are presented, and the best approximation property of the weighted unitary polar factor and perturbation bounds for the weighted unitary polar factor and the generalized positive semidefinite polar factors are also studied.
李寒宇、杨虎
数学
generalized polar decompositionweighted polar decompositionweighted unitary polar factorweighted normperturbation bound
generalized polar decompositionweighted polar decompositionweighted unitary polar factorweighted normperturbation bound
李寒宇,杨虎.Weighted Polar Decomposition[EB/OL].(2007-10-11)[2025-06-08].http://www.paper.edu.cn/releasepaper/content/200710-130.点此复制
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