A characterization and determinantal formula for the generalized inverse \(A^{(2)}_{T,S}\) and its applications.
type: Item
instance of: scholarly article
title: A characterization and determinantal formula for the generalized inverse \(A^{(2)}_{T,S}\) and its applications.
zbMATH Open document ID: 1035.15009
DOI: 10.1016/S0096-3003(00)00128-4
author: Sheng Zhang
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: This paper deals with the generalized inverse \(A^{(2)}_{S,T}\). A determinantal formula extending to the Cramer rule for this generalized inverse is obtained. This result can be used to derive the corresponding determinantal formula for the Moore-Penrose inverse, the weigthed Moore-Penrose inverse, the Drazin inverse, and so on. In addition, this result is applied to solve restricted linear systems.
reviewed by: Néstor Thome
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A06
zbMATH DE Number: 1860994
zbMATH Keywords: generalized inverses
zbMATH Keywords: characterizations
zbMATH Keywords: determinantal formula
zbMATH Keywords: restricted linear equations
zbMATH Keywords: Cramer rule
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: Drazin inverse
MaRDI profile type: Publication
cites work: Q4061081
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full work available at URL: s0096-3003(00)00128-4
OpenAlex ID: W2137371913
description: scientific article; zbMATH DE number 1860994