Article ID Journal Published Year Pages File Type
4601167 Linear Algebra and its Applications 2011 16 Pages PDF
Abstract

We characterize the sets X of all products PQ, and Y of all products PQP, where P,Q run over all orthogonal projections and we solve the problems argmin{‖P-Q‖:(P,Q)∈Z}, for Z=X or Y. We also determine the polar decompositions and Moore–Penrose pseudoinverses of elements of X.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory