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1. Variations for the Q- and H-factors in the polar decomposition.

Author

Chen, Xiao-Shan and Li, Wen

Subjects
PERTURBATION theory, HERMITIAN structures, MATRICES (Mathematics), APPROXIMATION theory, DECOMPOSITION method, MATHEMATICS
Abstract

In this paper, the variations of both subunitary polar factors and Hermitian positive semidefinite polar factors in the polar decomposition are studied. New perturbation bounds of both polar factors are given without the restriction that A and its perturbed matrix à have the same rank. These improve recent results. [ABSTRACT FROM AUTHOR]

Published
2008
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2. A note on the perturbation of an outer inverse.

Author

Naimin Zhang and Yimin Wei

Subjects
PERTURBATION theory, APPROXIMATION theory, INVERSE relationships (Mathematics), MATHEMATICS, FUNCTIONAL analysis
Abstract

In this note, we present an explicit formula for perturbations of an outer inverse under certain conditions, which extends previous results. [ABSTRACT FROM AUTHOR]

Published
2008
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