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๐Ÿ“

Iterative Solution of Large Linear Systems

โœ Scribed by David M. Young


Publisher
Dover Publications
Year
1971
Tongue
English
Leaves
584
Series
Dover Books on Mathematics
Edition
Dover Ed
Category
Library

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โœฆ Synopsis


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 method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; second-degree methods, alternating direction-implicit methods, and a comparison of methods. 1971 edition.

๐Ÿ“œ SIMILAR VOLUMES


Iterative Solution of Large Linear Syste
โœ David M. Young and Werner Rheinboldt (Auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1971 ๐Ÿ› Elsevier Inc, Academic Press ๐ŸŒ English

<DIV><DIV>Self-contained treatment includes a review of matrix theory and general properties of iterative methods; successive overrelaxation (SOR) method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method;

Iterative Solution of Large Sparse Syste
โœ Wolfgang Hackbusch (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1994 ๐Ÿ› Springer-Verlag New York ๐ŸŒ English

This book presents the description of the state of modern iterative techniques together with systematic analysis. The first chapters discuss the classical methods. Comprehensive chapters are devoted to semi-iterative techniques (Chebyshev methods), transformations, incomplete decompositions, gradien

Iterative Solution of Large Sparse Syste
โœ Wolfgang Hackbusch ๐Ÿ“‚ Library ๐Ÿ“… 2016 ๐Ÿ› Springer ๐ŸŒ English

New edition provides emphasis on the algebraic structure of linear iteration, not usually included in most literature Completely renewed references Content grew out of a series of lectures given by author Extensive and useful appendices included In the second edition of this classic monograph,

Iterative Solution of Large Sparse Syste
โœ Wolfgang Hackbusch (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2016 ๐Ÿ› Springer International Publishing ๐ŸŒ English

<p>In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other li