ITERATIVE SOLUTION OF LARGE LINEAR SYSTEMS
DAVID M. YOUNG
Sujeito à disponibilidade do fornecedor
Editora DOVER PUBLICATIONS
Área MATEMÁTICA
Idioma Inglês
Número de páginas 608
Edição 2003
ISBN 9780486425481
EAN 9780486425481
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.