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Products of orthogonal projections and polar decompositions
by
G Corach
,
A Maestripieri
| Venue: | Linear Algebra Appl |
| Citations: | 6 - 1 self |
BibTeX
@ARTICLE{Corach_productsof,
author = {G Corach and A Maestripieri},
title = {Products of orthogonal projections and polar decompositions},
journal = {Linear Algebra Appl},
year = {},
pages = {1594--1609}
}
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Abstract
Abstract We characterize the sets X of all products P Q, and Y of all products P QP , where P, Q run over all orthogonal projections and we solve the problems arg min{ P − Q : (P, Q) ∈ Z}, for Z = X or Y. We also determine the polar decompositions and Moore-Penrose pseudoinverses of elements of X.
