Generalized inverses of an invertible infinite matrix

Author: Sivakumar K. C.  

Publisher: Taylor & Francis Ltd

ISSN: 0308-1087

Source: Linear and Multilinear Algebra, Vol.54, Iss.2, 2006-03, pp. : 113-122

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Abstract

Recently, it was shown that, contrary to the case of finite matrices (with real or complex entries) an invertible infinite matrix V could have a Moore–Penrose inverse that is not a classical inverse of V . In this article, we show that V has infinitely many group inverses that are also Moore–Penrose inverses.