The image of the adjoint mapping
type: Item
instance of: scholarly article
title: The image of the adjoint mapping
zbMATH Open document ID: 0933.15005
DOI: 10.1016/S0024-3795(97)10058-1
author: Donald W. Robinson
published in: Linear Algebra and its Applications
publication date: 1999-12-19T00:00:00Z
review text: Conditions are derived for the inner inverse of a matrix \(A\) to be in the image of \(A^*\) (the adjoint mapping of \(A)\). These conditions include the rank of \(A\) and the ideal \(I\) of a commutative ring generated by the \(r\times r\) minors of \(A\).
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A03
zbMATH DE Number: 1355323
zbMATH Keywords: matrix inversion
zbMATH Keywords: inner inverse
zbMATH Keywords: adjoint mapping
zbMATH Keywords: rank
MaRDI profile type: Publication
cites work: Generalized inverses over integral domains
cites work: Generalized inverses of matrices over commutative rings
cites work: The determinal rank idempotents of a matrix
full work available at URL: s0024-3795(97)10058-1
OpenAlex ID: W2061436673
description: scientific article; zbMATH DE number 1355323