Full Rank Factorization of Matrices

Interesting article; gives detailed treatment of full rank factorizations and their applications. There's a wealth of information in this article. Some readers may be unfamiliar and/or uncomfortable with the axioms for Moore-Penrose inverses; these are used many times in the proofs of the authors' results. Some facts about rank are stated without proof, but they can be found in standard texts, such as Strang's Linear Algebra and its Applications. There's a mistake on p. 194: $$R_1$$ consists of the first $$r$$ columns of $$R^{-1}$$, not $$R$$.

Identifier:
http://www.jstor.org/stable/2690882
Subject:
Rating:
Creator(s):
R. Piziak and P.L. Odell
Cataloger:
Daniel Drucker
Publisher:
Mathematics Magazine 72, No. 3 (1999), 193-201
Rights:
MAA