New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems

Bibliographic Details
Main Author: Zhang, Yulin
Publication Date: 2023
Other Authors: Fahd, Hcini
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/83881
Summary: In this paper, based on the structure of pentadiagonal CUPL-Toeplitz matrix and Sherman–Morrison–Woodbury formula, we develop a new algorithm for solving nonsingular pentadiagonal CUPL-Toeplitz linear system. Some numerical examples are given in order to illustrate the effectiveness of the proposed algorithms.
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spelling New algorithm for solving pentadiagonal CUPL-Toeplitz linear systemsCUPL-Toeplitz matrixSherman-Morrison-Woodbury formulaToeplitz matrixlow rank matrixLU decompositionCiências Naturais::MatemáticasScience & TechnologyIn this paper, based on the structure of pentadiagonal CUPL-Toeplitz matrix and Sherman–Morrison–Woodbury formula, we develop a new algorithm for solving nonsingular pentadiagonal CUPL-Toeplitz linear system. Some numerical examples are given in order to illustrate the effectiveness of the proposed algorithms.SpringerUniversidade do MinhoZhang, YulinFahd, Hcini20232023-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/83881engFahd, H., & Zhang, Y. (2023, March 22). New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems. Computational and Applied Mathematics. Springer Science and Business Media LLC. http://doi.org/10.1007/s40314-023-02253-62238-36031807-030210.1007/s40314-023-02253-6122 (2023)https://link.springer.com/article/10.1007/s40314-023-02253-6info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T05:50:15Zoai:repositorium.sdum.uminho.pt:1822/83881Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:31:43.666382Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems
title New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems
spellingShingle New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems
Zhang, Yulin
CUPL-Toeplitz matrix
Sherman-Morrison-Woodbury formula
Toeplitz matrix
low rank matrix
LU decomposition
Ciências Naturais::Matemáticas
Science & Technology
title_short New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems
title_full New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems
title_fullStr New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems
title_full_unstemmed New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems
title_sort New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems
author Zhang, Yulin
author_facet Zhang, Yulin
Fahd, Hcini
author_role author
author2 Fahd, Hcini
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Zhang, Yulin
Fahd, Hcini
dc.subject.por.fl_str_mv CUPL-Toeplitz matrix
Sherman-Morrison-Woodbury formula
Toeplitz matrix
low rank matrix
LU decomposition
Ciências Naturais::Matemáticas
Science & Technology
topic CUPL-Toeplitz matrix
Sherman-Morrison-Woodbury formula
Toeplitz matrix
low rank matrix
LU decomposition
Ciências Naturais::Matemáticas
Science & Technology
description In this paper, based on the structure of pentadiagonal CUPL-Toeplitz matrix and Sherman–Morrison–Woodbury formula, we develop a new algorithm for solving nonsingular pentadiagonal CUPL-Toeplitz linear system. Some numerical examples are given in order to illustrate the effectiveness of the proposed algorithms.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/1822/83881
url https://hdl.handle.net/1822/83881
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Fahd, H., & Zhang, Y. (2023, March 22). New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems. Computational and Applied Mathematics. Springer Science and Business Media LLC. http://doi.org/10.1007/s40314-023-02253-6
2238-3603
1807-0302
10.1007/s40314-023-02253-6
122 (2023)
https://link.springer.com/article/10.1007/s40314-023-02253-6
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833595372919848960

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