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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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 |
id | doaj-art-7bf33e84a49f4e469fe63415c332d8b8 |
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 |