Products of orthogonal projections and polar decompositions

被引：40

作者：

Corach, G. ^{[1
]}

Maestripieri, A.

机构：

[1] UBA, Fac Ingn, Dept Matemat, RA-1083 Buenos Aires, DF, Argentina

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 06期

关键词：

Oblique projections; Polar decomposition; Partial isometries; Moore-Penrose pseudoinverse; PAIRS;

D O I：

10.1016/j.laa.2010.11.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the sets x of all products PQ, and n of all products PQP, where P, Q run over all orthogonal projections and we solve the problems arg min{parallel to P - Q parallel to : (P, Q) is an element of Z}, for Z = x or n. We also determine the polar decompositions and Moore-Penrose pseudoinverses of elements of x. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1594 / 1609

页数：16

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