Iterative Solution of Large Linear Systems

Young, David M.

ISBN 10: 0486425487 / ISBN 13: 9780486425481

Published by Mineola, New York, U.S.A.: Dover Pubns, 2003

About this Item

trade paperback in fine condition.

Seller Inventory # 128809

Bibliographic Details

• Title: Iterative Solution of Large Linear Systems
• Publisher: Mineola, New York, U.S.A.: Dover Pubns
• Publication Date: 2003
• Language: English
• ISBN 10: 0486425487
• ISBN 13: 9780486425481
• Binding: Soft cover
• Condition: Fine
• Seller catalogs:
  • Mathematics

About this title

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.