Iterative Solution of Large Linear Systems

Young, David M.

ISBN 10: 0486425487 / ISBN 13: 9780486425481

Published by Dover, Mineola NY, 2003

About this Item

unabridged republication of the Academic Press 1971 edition 570 pages. ".offers a systematic development of the theory of iterative methods, a technique for solving large systems of linear algebraic equations. 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." ; 5 3/8 x 8 1/2 ".

Seller Inventory # 52014

Bibliographic Details

• Title: Iterative Solution of Large Linear Systems
• Publisher: Dover, Mineola NY
• Publication Date: 2003
• Language: English
• ISBN 10: 0486425487
• ISBN 13: 9780486425481
• Binding: Paperback
• Edition: Reprint.
• Condition: As New
• Seller catalogs:
  • Science, Physical Sciences, & Math

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.