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Conference Paper: Splitting iterations for circulant-plus-diagonal systems
Title | Splitting iterations for circulant-plus-diagonal systems |
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Authors | |
Keywords | Normal Splitting iteration method Skew-Hermitian matrix Circulant matrix Diagonal matrix |
Issue Date | 2005 |
Citation | Numerical Linear Algebra with Applications, 2005, v. 12, n. 8, p. 779-792 How to Cite? |
Abstract | We consider the system of linear equations (C + iD)x = b, where C is a circulant matrix and D is a real diagonal matrix. We study the technique for constructing the normal/skew-Hermitian splitting for such coefficient matrices. Theoretical results show that if the eigenvalues of C have positive real part, the splitting method converges to the exact solution of the system of linear equations. When the eigenvalues of C have non-negative real part, the convergence conditions are also given. We present a successive overrelaxation acceleration scheme for the proposed splitting iteration. Numerical examples are given to illustrate the effectiveness of the method. Copyright © 2005 John Wiley & Sons, Ltd. |
Persistent Identifier | http://hdl.handle.net/10722/276780 |
ISSN | 2023 Impact Factor: 1.8 2023 SCImago Journal Rankings: 0.932 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Ho, Man Kiu | - |
dc.contributor.author | Ng, Michael K. | - |
dc.date.accessioned | 2019-09-18T08:34:38Z | - |
dc.date.available | 2019-09-18T08:34:38Z | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | Numerical Linear Algebra with Applications, 2005, v. 12, n. 8, p. 779-792 | - |
dc.identifier.issn | 1070-5325 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276780 | - |
dc.description.abstract | We consider the system of linear equations (C + iD)x = b, where C is a circulant matrix and D is a real diagonal matrix. We study the technique for constructing the normal/skew-Hermitian splitting for such coefficient matrices. Theoretical results show that if the eigenvalues of C have positive real part, the splitting method converges to the exact solution of the system of linear equations. When the eigenvalues of C have non-negative real part, the convergence conditions are also given. We present a successive overrelaxation acceleration scheme for the proposed splitting iteration. Numerical examples are given to illustrate the effectiveness of the method. Copyright © 2005 John Wiley & Sons, Ltd. | - |
dc.language | eng | - |
dc.relation.ispartof | Numerical Linear Algebra with Applications | - |
dc.subject | Normal | - |
dc.subject | Splitting iteration method | - |
dc.subject | Skew-Hermitian matrix | - |
dc.subject | Circulant matrix | - |
dc.subject | Diagonal matrix | - |
dc.title | Splitting iterations for circulant-plus-diagonal systems | - |
dc.type | Conference_Paper | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1002/nla.451 | - |
dc.identifier.scopus | eid_2-s2.0-26644433905 | - |
dc.identifier.volume | 12 | - |
dc.identifier.issue | 8 | - |
dc.identifier.spage | 779 | - |
dc.identifier.epage | 792 | - |
dc.identifier.isi | WOS:000232516800009 | - |
dc.identifier.issnl | 1070-5325 | - |