Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces

A higher-order convergent iterative method is provided for calculating the generalized inverse over Banach spaces. We also use this iterative method for computing the generalized Drazin inverse in Banach algebra. Moreover, we estimate the error bounds of the iterative methods for approximating or...

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Main Authors: Xiaoji Liu, Fu Huang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/356105
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author Xiaoji Liu
Fu Huang
author_facet Xiaoji Liu
Fu Huang
author_sort Xiaoji Liu
collection DOAJ
description A higher-order convergent iterative method is provided for calculating the generalized inverse over Banach spaces. We also use this iterative method for computing the generalized Drazin inverse in Banach algebra. Moreover, we estimate the error bounds of the iterative methods for approximating or .
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-7bf33e84a49f4e469fe63415c332d8b82025-02-03T05:59:08ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/356105356105Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach SpacesXiaoji Liu0Fu Huang1College of Science, Guangxi University for Nationalities, Nanning 530006, ChinaCollege of Science, Guangxi University for Nationalities, Nanning 530006, ChinaA higher-order convergent iterative method is provided for calculating the generalized inverse over Banach spaces. We also use this iterative method for computing the generalized Drazin inverse in Banach algebra. Moreover, we estimate the error bounds of the iterative methods for approximating or .http://dx.doi.org/10.1155/2013/356105
spellingShingle Xiaoji Liu
Fu Huang
Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces
Abstract and Applied Analysis
title Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces
title_full Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces
title_fullStr Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces
title_full_unstemmed Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces
title_short Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces
title_sort higher order convergent iterative method for computing the generalized inverse over banach spaces
url http://dx.doi.org/10.1155/2013/356105
work_keys_str_mv AT xiaojiliu higherorderconvergentiterativemethodforcomputingthegeneralizedinverseoverbanachspaces
AT fuhuang higherorderconvergentiterativemethodforcomputingthegeneralizedinverseoverbanachspaces