Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/47154
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Zhongyun Liu | por |
dc.contributor.author | Xiaorong Qin | por |
dc.contributor.author | Nianci Wu | por |
dc.contributor.author | Zhang, Yulin | por |
dc.date.accessioned | 2017-11-08T18:29:09Z | - |
dc.date.available | 2017-11-08T18:29:09Z | - |
dc.date.issued | 2017 | - |
dc.date.submitted | 2016 | - |
dc.identifier.issn | 0008-4395 | por |
dc.identifier.uri | https://hdl.handle.net/1822/47154 | - |
dc.description.abstract | It is known that every Toeplitz matrix T enjoys a circulant and skew circulant splitting (denoted by CSCS), i.e., T=C-S with C a circulant matrix and S a skew circulant matrix. Based on the variant of such a splitting (also referred to as CSCS), we first develop classical CSCS iterative methods and then introduce shifted CSCS iterative methods for solving hermitian positive definite Toeplitz systems in this paper. The convergence of each method is analyzed. Numerical experiments show that the classical CSCS iterative methods work slightly better than the Gauss-Seidel (GS) iterative methods if the CSCS is convergent and that there is always a constant $\alpha$ such that the shifted CSCS iteration converges much faster than the Gauss-Seidel iteration, no matter whether the CSCS itself is convergent or not. | por |
dc.description.sponsorship | National Natural Science Foundation of China No. 11371075 | por |
dc.description.sponsorship | The authors would like to thank the supports of the National Natural Science Foundation of China under Grant No. 11371075, the research innovation program of Hunan province for postgraduate students under Grant No. CX2015B374, the Portuguese Funds through FCT–Fundac˜ao para a Ciˆencia, within the Project UID/MAT/00013/2013. | por |
dc.language.iso | eng | por |
dc.publisher | Canadian Mathematical Society | por |
dc.relation | FCT Project UID/MAT/00013/2013 | por |
dc.rights | openAccess | por |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | por |
dc.subject | Hermitian positive definite | por |
dc.subject | CSCS Splitting | por |
dc.subject | Gauss-Seidel splitting | por |
dc.subject | Toeplitz matrix | por |
dc.subject | Iterative method | por |
dc.title | The shifted classical circulant and skew circulant splitting iterative methods for Toeplitz matrices | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | https://cms.math.ca/10.4153/CMB-2016-077-5 | por |
oaire.citationStartPage | 807 | por |
oaire.citationEndPage | 815 | por |
oaire.citationIssue | 4 | por |
oaire.citationVolume | 60 | por |
dc.identifier.eissn | 1496-4287 | por |
dc.identifier.doi | 10.4153/CMB-2016-077-5 | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Canadian Mathematical Bulletin | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Este trabalho está licenciado sob uma Licença Creative Commons