Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416579 | Linear Algebra and its Applications | 2013 | 12 Pages |
Abstract
This article is devoted to the study of the set T of all products PA with P an orthogonal projection and A a positive (semidefinite) operator. We describe this set and study optimal factorizations. We also relate this factorization with the notion of compatibility and explore the polar decomposition of the operators in T.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M. Laura Arias, Gustavo Corach, M. Celeste Gonzalez,