Iterative Solution of Large Linear Systems (Dover Books on Mathematics)

Young, David M., Mathematics

ISBN 10: 0486425487 / ISBN 13: 9780486425481

Editore: Dover Publications, 2003

Riguardo questo articolo

2003. Dover Ed. Paperback. Fine. Codice articolo A32717

Dati bibliografici

Titolo: Iterative Solution of Large Linear Systems (...

Casa editrice: Dover Publications

Data di pubblicazione: 2003

Legatura: Brossura

Condizione: Used - Like New

Descrizione articolo

Riassunto:

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.

Product Description:

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; 2nd-degree methods, alternating direction-implicit methods, and a comparison of methods. 1971 edition.