Simultaneous polar decomposition of rectangular complex matrices
type: Item
instance of: scholarly article
title: Simultaneous polar decomposition of rectangular complex matrices
zbMATH Open document ID: 0940.15014
DOI: 10.1016/S0024-3795(98)10104-0
author: Augustyn Markiewicz
published in: Linear Algebra and its Applications
publication date: 2000-07-17T00:00:00Z
review text: The starting point of the present paper is the well known (left and right) polar decomposition of a complex \(m\times n\)-matrix which is in general not unique. Two complex matrices of the same size are said to be simultaneously polar decomposable if the partial isometries in their polar decompositions coincide. Now a criterion for simultaneous polar decomposibility is derived in terms of the so-called GL-ordering [cf. \textit{J. Hauke} and \textit{A. Markiewicz}, Linear Algebra Appl. 219, 187-193 (1995; Zbl 0833.15012)].
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 15A45
zbMATH DE Number: 1331306
zbMATH Keywords: simultaneous polar decomposition
zbMATH Keywords: matrix ordering
zbMATH Keywords: factorization
zbMATH Keywords: GL-ordering
zbMATH Keywords: rectangular complex matrices
reviewed by: Hans Havlicek
MaRDI profile type: Publication
cites work: Q4061081
cites work: On partial orderings on the set of rectangular matrices
cites work: Q4040931
cites work: Partial orderings, preorderings, and the polar decomposition of matrices
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description: scientific article; zbMATH DE number 1331306