Generalized inverses of partitioned matrices in Banachiewicz-Schur form
type: Item
instance of: scholarly article
title: Generalized inverses of partitioned matrices in Banachiewicz-Schur form
zbMATH Open document ID: 1022.15006
DOI: 10.1016/S0024-3795(02)00334-8
author: Jerzy K. Baksalary
author: George P. H. Styan
published in: Linear Algebra and its Applications
publication date: 2003-02-05T00:00:00Z
review text: This paper deals with partitioned matrices and some kinds of generalized inverses. Necessary and sufficient conditions such that inner, outer, reflexive, least square and minimum norm generalized inverses and also the Moore-Penrose inverse can be expressed in the Banachiewicz-Schur form are found. Some results given by \textit{G. Marsaglia} and \textit{G. P. H. Styan} [Sankhya Ser. A 36, 437-442 (1974; Zbl 0309.15002)]have been improved.
reviewed by: Néstor Thome
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 1864713
zbMATH Keywords: inner inverse
zbMATH Keywords: outer inverse
zbMATH Keywords: reflexive generalized inverse
zbMATH Keywords: least-square generalized inverse
zbMATH Keywords: minimum norm generalized inverse
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: Schur complement
zbMATH Keywords: partitioned matrices
MaRDI profile type: Publication
cites work: Q4067232
cites work: Q5849795
description: scientific article; zbMATH DE number 1864713