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Article: Backward errors for eigenproblem of two kinds of structured matrices

TitleBackward errors for eigenproblem of two kinds of structured matrices
Authors
KeywordsBackward error
Centrosymmetric matrix
Skew-centrosymmetric matrix
Symmetric centrosymmetric matrix
Symmetric skew-centrosymmetric matrix
Issue Date2010
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cam
Citation
Journal Of Computational And Applied Mathematics, 2010, v. 235 n. 1, p. 59-73 How to Cite?
AbstractIn this paper, we consider backward errors in the eigenproblem of symmetric centrosymmetric and symmetric skew-centrosymmetric matrices. By making use of the properties of symmetric centrosymmetric and symmetric skew-centrosymmetric matrices, we derive explicit formulae for the backward errors of approximate eigenpairs. © 2010 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/124812
ISSN
2015 Impact Factor: 1.328
2015 SCImago Journal Rankings: 1.089
ISI Accession Number ID
Funding AgencyGrant Number
National Natural Science Foundations of China10671077
10971075
Guangdong Provincial Natural Science Foundations, PR China06025061
9151063101000021
Hong Kong RGC7017/07P
University of Hong Kong
Funding Information:

The authors would like to thank the referee for his/her kind suggestions. The work of the second author was supported in part by National Natural Science Foundations of China (No. 10671077, 10971075) and Guangdong Provincial Natural Science Foundations (06025061, 9151063101000021), PR China. The third author's research was supported in part by Hong Kong RGC Grant No. 7017/07P and the HKU Strategic Research Funding on Computational Sciences and CRCG Grants from the University of Hong Kong.

References

 

DC FieldValueLanguage
dc.contributor.authorXu, WWen_HK
dc.contributor.authorLi, Wen_HK
dc.contributor.authorChing, WKen_HK
dc.contributor.authorChen, YMen_HK
dc.date.accessioned2010-10-31T10:55:33Z-
dc.date.available2010-10-31T10:55:33Z-
dc.date.issued2010en_HK
dc.identifier.citationJournal Of Computational And Applied Mathematics, 2010, v. 235 n. 1, p. 59-73en_HK
dc.identifier.issn0377-0427en_HK
dc.identifier.urihttp://hdl.handle.net/10722/124812-
dc.description.abstractIn this paper, we consider backward errors in the eigenproblem of symmetric centrosymmetric and symmetric skew-centrosymmetric matrices. By making use of the properties of symmetric centrosymmetric and symmetric skew-centrosymmetric matrices, we derive explicit formulae for the backward errors of approximate eigenpairs. © 2010 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/camen_HK
dc.relation.ispartofJournal of Computational and Applied Mathematicsen_HK
dc.subjectBackward erroren_HK
dc.subjectCentrosymmetric matrixen_HK
dc.subjectSkew-centrosymmetric matrixen_HK
dc.subjectSymmetric centrosymmetric matrixen_HK
dc.subjectSymmetric skew-centrosymmetric matrixen_HK
dc.titleBackward errors for eigenproblem of two kinds of structured matricesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0377-0427&volume=235&spage=59&epage=73&date=2010&atitle=Backward+Errors+for+Eigenproblem+of+Two+Kinds+of+Structured+Matricesen_HK
dc.identifier.emailChing, WK:wching@hku.hken_HK
dc.identifier.authorityChing, WK=rp00679en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.cam.2010.05.011en_HK
dc.identifier.scopuseid_2-s2.0-77955426285en_HK
dc.identifier.hkuros175019en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77955426285&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume235en_HK
dc.identifier.issue1en_HK
dc.identifier.spage59en_HK
dc.identifier.epage73en_HK
dc.identifier.isiWOS:000282549600004-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridXu, WW=36103500300en_HK
dc.identifier.scopusauthoridLi, W=36068145000en_HK
dc.identifier.scopusauthoridChing, WK=13310265500en_HK
dc.identifier.scopusauthoridChen, YM=36102020800en_HK
dc.identifier.citeulike7392110-

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