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Article: Direct solution of near-symmetric matrices and its applications

TitleDirect solution of near-symmetric matrices and its applications
Authors
KeywordsFinite Element Methods
Ldlt Decomposition
Near-Symmetric Matrices
Issue Date2006
Publisher中國科學院武漢巖土力學研究所. The Journal's web site is located at http://ytlx.chinajournal.net.cn/
Citation
Yantu Lixue/Rock And Soil Mechanics, 2006, v. 27 n. 11, p. 1880-1884 How to Cite?
AbstractBy a near-symmetric matrix, we mean that only a very few of entries in the matrix are non-symmetric. If those non-symmetric entries above the diagonal are replaced with the corresponding entries below the diagonal, it will become symmetric. Such a matrix can be encountered in the analysis of nonlinear continuum problems. Based on Sherman-Morrison's formula, a new scheme for decomposing near-symmetric matrices is proposed, which is much more effective and less memory-used than those solvers for common sparse non-symmetric matrices under the condition that the numerical stability is assured. Moreover, the solver corresponding to the scheme, which is suitable for both symmetric and non-symmetric matrices, can be developed through slightly augmenting the solvers based on LDLT decomposition. With an example on a frictional contact problem, the advantages of the proposed scheme are illustrated.
Persistent Identifierhttp://hdl.handle.net/10722/150385
ISSN
2015 SCImago Journal Rankings: 0.843
References

 

DC FieldValueLanguage
dc.contributor.authorZheng, Hen_US
dc.contributor.authorTham, LGen_US
dc.contributor.authorLiu, DFen_US
dc.date.accessioned2012-06-26T06:04:09Z-
dc.date.available2012-06-26T06:04:09Z-
dc.date.issued2006en_US
dc.identifier.citationYantu Lixue/Rock And Soil Mechanics, 2006, v. 27 n. 11, p. 1880-1884en_US
dc.identifier.issn1000-7598en_US
dc.identifier.urihttp://hdl.handle.net/10722/150385-
dc.description.abstractBy a near-symmetric matrix, we mean that only a very few of entries in the matrix are non-symmetric. If those non-symmetric entries above the diagonal are replaced with the corresponding entries below the diagonal, it will become symmetric. Such a matrix can be encountered in the analysis of nonlinear continuum problems. Based on Sherman-Morrison's formula, a new scheme for decomposing near-symmetric matrices is proposed, which is much more effective and less memory-used than those solvers for common sparse non-symmetric matrices under the condition that the numerical stability is assured. Moreover, the solver corresponding to the scheme, which is suitable for both symmetric and non-symmetric matrices, can be developed through slightly augmenting the solvers based on LDLT decomposition. With an example on a frictional contact problem, the advantages of the proposed scheme are illustrated.en_US
dc.languageengen_US
dc.publisher中國科學院武漢巖土力學研究所. The Journal's web site is located at http://ytlx.chinajournal.net.cn/zh_HK
dc.relation.ispartofYantu Lixue/Rock and Soil Mechanicsen_US
dc.subjectFinite Element Methodsen_US
dc.subjectLdlt Decompositionen_US
dc.subjectNear-Symmetric Matricesen_US
dc.titleDirect solution of near-symmetric matrices and its applicationsen_US
dc.typeArticleen_US
dc.identifier.emailTham, LG:hrectlg@hkucc.hku.hken_US
dc.identifier.authorityTham, LG=rp00176en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-33751561875en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33751561875&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume27en_US
dc.identifier.issue11en_US
dc.identifier.spage1880en_US
dc.identifier.epage1884en_US
dc.publisher.placeChinaen_US
dc.identifier.scopusauthoridZheng, H=7403440940en_US
dc.identifier.scopusauthoridTham, LG=7006213628en_US
dc.identifier.scopusauthoridLiu, DF=15022683400en_US

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