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Article: A direct method for solving block-Toeplitz with near-circulant-block systems with applications to hybrid manufacturing systems

TitleA direct method for solving block-Toeplitz with near-circulant-block systems with applications to hybrid manufacturing systems
Authors
KeywordsCirculant matrix
Re-manufacturing systems
Sherman-Morrison-Woodbury formula
Steady-state probability distribution
Toeplitz matrix
Issue Date2005
PublisherJohn Wiley & Sons Ltd.
Citation
Numerical Linear Algebra With Applications, 2005, v. 12 n. 10, p. 957-966 How to Cite?
AbstractIn this paper, we present a direct method for solving linear systems of a block-Toeplitz matrix with each block being a near-circulant matrix. The direct method is based on the fast Fourier transform (FFT) and the Sherman-Morrison- Woodbury formula. We give a cost analysis for the proposed method. The method is then applied to solve the steady-state probability distribution of a hybrid manufacturing system which consists of a manufacturing process and a re-manufacturing process. Copyright © 2005 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/75456
ISSN
2015 Impact Factor: 1.431
2015 SCImago Journal Rankings: 1.250
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChing, WKen_HK
dc.contributor.authorNg, MKen_HK
dc.contributor.authorYuen, WOen_HK
dc.date.accessioned2010-09-06T07:11:17Z-
dc.date.available2010-09-06T07:11:17Z-
dc.date.issued2005en_HK
dc.identifier.citationNumerical Linear Algebra With Applications, 2005, v. 12 n. 10, p. 957-966en_HK
dc.identifier.issn1070-5325en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75456-
dc.description.abstractIn this paper, we present a direct method for solving linear systems of a block-Toeplitz matrix with each block being a near-circulant matrix. The direct method is based on the fast Fourier transform (FFT) and the Sherman-Morrison- Woodbury formula. We give a cost analysis for the proposed method. The method is then applied to solve the steady-state probability distribution of a hybrid manufacturing system which consists of a manufacturing process and a re-manufacturing process. Copyright © 2005 John Wiley & Sons, Ltd.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd.en_HK
dc.relation.ispartofNumerical Linear Algebra with Applicationsen_HK
dc.rightsNumerical Linear Algebra with Applications. Copyright © John Wiley & Sons Ltd.en_HK
dc.subjectCirculant matrixen_HK
dc.subjectRe-manufacturing systemsen_HK
dc.subjectSherman-Morrison-Woodbury formulaen_HK
dc.subjectSteady-state probability distributionen_HK
dc.subjectToeplitz matrixen_HK
dc.titleA direct method for solving block-Toeplitz with near-circulant-block systems with applications to hybrid manufacturing systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1070-5325&volume=12&spage=957&epage=966&date=2005&atitle=A+Direct+Method+for+Solving+Block-Toeplitz+with+Near-Circulant-Block+Systems+with+Applications+to+Hybrid+Manufacturing+Systemsen_HK
dc.identifier.emailChing, WK:wching@hku.hken_HK
dc.identifier.authorityChing, WK=rp00679en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/nla.430en_HK
dc.identifier.scopuseid_2-s2.0-30344437251en_HK
dc.identifier.hkuros114574en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-30344437251&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume12en_HK
dc.identifier.issue10en_HK
dc.identifier.spage957en_HK
dc.identifier.epage966en_HK
dc.identifier.isiWOS:000234526000001-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridChing, WK=13310265500en_HK
dc.identifier.scopusauthoridNg, MK=34571761900en_HK
dc.identifier.scopusauthoridYuen, WO=7102761296en_HK

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