The Moore–Penrose inverse of a factorization

✍ Scribed by Pedro Patrı́cio

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 99 KB
• Volume: 370
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(03)00391-4

✦ Synopsis

In this paper, we consider the product of matrices P AQ, where A is von Neumann regular and there exist P and Q such that P P A = A = AQQ . We give necessary and sufficient conditions in order to P AQ be Moore-Penrose invertible, extending known characterizations. Finally, an application is given to matrices over separative regular rings.