Proper Splitting for the Generalized Inverse AT,S(2) and Its Application on Banach Spaces
A possible type of the operator splitting is studied. Using this operator splitting, we introduce some properties and representations of generalized inverses as well as iterative method for computing various solutions of the restricted linear operator system Ax=b, x∈T, where A∈ℒ(X,Y) and T is an ar...
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| Format: | Article |
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Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/736929 |
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doaj-5fe40f7061a7432b962b959a8c9487002020-11-24T23:22:53ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/736929736929Proper Splitting for the Generalized Inverse AT,S(2) and Its Application on Banach SpacesXiaoji Liu0Shaowu Huang1School of Science, Guangxi University for Nationalities and Guangxi Key Laborarory of Hybrid Computational and IC Design Analysis, Nanning 530006, ChinaSchool of Science, Guangxi University for Nationalities and Guangxi Key Laborarory of Hybrid Computational and IC Design Analysis, Nanning 530006, ChinaA possible type of the operator splitting is studied. Using this operator splitting, we introduce some properties and representations of generalized inverses as well as iterative method for computing various solutions of the restricted linear operator system Ax=b, x∈T, where A∈ℒ(X,Y) and T is an arbitrary but fixed subspace of X.http://dx.doi.org/10.1155/2012/736929 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xiaoji Liu Shaowu Huang |
| spellingShingle |
Xiaoji Liu Shaowu Huang Proper Splitting for the Generalized Inverse AT,S(2) and Its Application on Banach Spaces Abstract and Applied Analysis |
| author_facet |
Xiaoji Liu Shaowu Huang |
| author_sort |
Xiaoji Liu |
| title |
Proper Splitting for the Generalized Inverse AT,S(2) and Its Application on Banach Spaces |
| title_short |
Proper Splitting for the Generalized Inverse AT,S(2) and Its Application on Banach Spaces |
| title_full |
Proper Splitting for the Generalized Inverse AT,S(2) and Its Application on Banach Spaces |
| title_fullStr |
Proper Splitting for the Generalized Inverse AT,S(2) and Its Application on Banach Spaces |
| title_full_unstemmed |
Proper Splitting for the Generalized Inverse AT,S(2) and Its Application on Banach Spaces |
| title_sort |
proper splitting for the generalized inverse at,s(2) and its application on banach spaces |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| description |
A possible type of the operator splitting is studied. Using this operator splitting, we introduce some properties and representations of generalized inverses as well as iterative method for computing various solutions of the restricted linear operator system Ax=b, x∈T, where A∈ℒ(X,Y) and T is an arbitrary but fixed subspace of X. |
| url |
http://dx.doi.org/10.1155/2012/736929 |
| work_keys_str_mv |
AT xiaojiliu propersplittingforthegeneralizedinverseats2anditsapplicationonbanachspaces AT shaowuhuang propersplittingforthegeneralizedinverseats2anditsapplicationonbanachspaces |
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1725566397979820032 |