Iterative solution of large linear systems

This self-contained treatment offers a systematic development of the theory of iterative methods. Its focal point resides in an analysis of the convergence properties of the successive overrelaxation (SOR) method, as applied to a linear system with a consistently ordered matrix. The text explores th...

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Detalles Bibliográficos
Autores principales: Young, David Matheson, Rheinboldt, Werner
Lenguaje:eng
Publicado: Academic Press 1971
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/103087
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author Young, David Matheson
Rheinboldt, Werner
author_facet Young, David Matheson
Rheinboldt, Werner
author_sort Young, David Matheson
collection CERN
description This self-contained treatment offers a systematic development of the theory of iterative methods. Its focal point resides in an analysis of the convergence properties of the successive overrelaxation (SOR) method, as applied to a linear system with a consistently ordered matrix. The text explores the convergence properties of the SOR method and related techniques in terms of the spectral radii of the associated matrices as well as in terms of certain matrix norms. Contents include a review of matrix theory and general properties of iterative methods; SOR method and stationary modified SOR meth
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1971
publisher Academic Press
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spelling cern-1030872021-04-22T05:59:56Zhttp://cds.cern.ch/record/103087engYoung, David MathesonRheinboldt, WernerIterative solution of large linear systemsMathematical Physics and MathematicsThis self-contained treatment offers a systematic development of the theory of iterative methods. Its focal point resides in an analysis of the convergence properties of the successive overrelaxation (SOR) method, as applied to a linear system with a consistently ordered matrix. The text explores the convergence properties of the SOR method and related techniques in terms of the spectral radii of the associated matrices as well as in terms of certain matrix norms. Contents include a review of matrix theory and general properties of iterative methods; SOR method and stationary modified SOR methAcademic Pressoai:cds.cern.ch:1030871971
spellingShingle Mathematical Physics and Mathematics
Young, David Matheson
Rheinboldt, Werner
Iterative solution of large linear systems
title Iterative solution of large linear systems
title_full Iterative solution of large linear systems
title_fullStr Iterative solution of large linear systems
title_full_unstemmed Iterative solution of large linear systems
title_short Iterative solution of large linear systems
title_sort iterative solution of large linear systems
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/103087
work_keys_str_mv AT youngdavidmatheson iterativesolutionoflargelinearsystems
AT rheinboldtwerner iterativesolutionoflargelinearsystems

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