Iterative Solution of Large Linear Systems

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book Iterative Solution of Large Linear Systems by David M. Young, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David M. Young ISBN: 9780486153339
Publisher: Dover Publications Publication: July 24, 2013
Imprint: Dover Publications Language: English
Author: David M. Young
ISBN: 9780486153339
Publisher: Dover Publications
Publication: July 24, 2013
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book The Fifteen Decisive Battles of the World by David M. Young
Cover of the book On the Social Contract by David M. Young
Cover of the book Sand Play! by David M. Young
Cover of the book Three Contributions to the Theory of Sex by David M. Young
Cover of the book Challenging Mathematical Problems with Elementary Solutions, Vol. I by David M. Young
Cover of the book Fairyland by David M. Young
Cover of the book Wit and Wisdom from Poor Richard's Almanack by David M. Young
Cover of the book Singular Integral Equations by David M. Young
Cover of the book Modern Calculus and Analytic Geometry by David M. Young
Cover of the book Spanish Stories of the Romantic Era /Cuentos españoles del Romanticismo by David M. Young
Cover of the book Cooking Price-Wise by David M. Young
Cover of the book States of Matter by David M. Young
Cover of the book How to Make Super Pop-Ups by David M. Young
Cover of the book The Mysterious Mickey Finn by David M. Young
Cover of the book Piano Music of Robert Schumann, Series II by David M. Young
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy