An analog of the adjugate matrix for the outer inverse \(A^{(2)}_{T, S}\)
type: Item
instance of: scholarly article
title: An analog of the adjugate matrix for the outer inverse \(A^{(2)}_{T, S}\)
zbMATH Open document ID: 1264.15010
DOI: 10.1155/2012/591256
author: Xiaoji Liu
author: Guangyan Zhu
author: Guangping Zhou
author: Yaoming Yu
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We investigate the determinantal representation by exploiting the limiting expression for the generalized inverse \(A^{(2)}_{T, S}\). We show the equivalent relationship between the existence and limiting expression of \(A^{(2)}_{T, S}\) and some limiting processes of matrices and deduce the new determinantal representations of \(A^{(2)}_{T, S}\), based on some analog of the classical adjoint matrix. Using the analog of the classical adjoint matrix, we present Cramer rules for the restricted matrix equation \(AXB = D, \mathcal R(X) \subset T, \mathcal N(X) \supset \tilde{S}\).
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 6173406
Wikidata QID: Q58912218
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/591256
OpenAlex ID: W1988105568
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description: scientific article; zbMATH DE number 6173406