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Author Brezinski, Claude, 1941-

Title Projection methods for systems of equations / Claude Brezinski.

Imprint Amsterdam ; New York : Elsevier Science, 1997.


Location Call No. OPAC Message Status
 Axe Elsevier ScienceDirect Ebook  Electronic Book    ---  Available
Description 1 online resource (vii, 400 pages) : illustrations
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Studies in computational mathematics ; 7
Studies in computational mathematics ; 7.
Summary The solutions of systems of linear and nonlinear equations occurs in many situations and is therefore a question of major interest. Advances in computer technology has made it now possible to consider systems exceeding several hundred thousands of equations. However, there is a crucial need for more efficient algorithms. The main focus of this book (except the last chapter, which is devoted to systems of nonlinear equations) is the consideration of solving the problem of the linear equation <IT>Ax = b</IT> by an iterative method. Iterative methods for the solution of this question are described which are based on projections. Recently, such methods have received much attention from researchers in numerical linear algebra and have been applied to a wide range of problems. The book is intended for students and researchers in numerical analysis and for practitioners and engineers who require the most recent methods for solving their particular problem.
Contents Introduction. 1. Preliminaries. 2. Biorthogonality. 3. Projection Methods for Linear Systems. 4. Lanczos-Type Methods. 5. Hybrid Procedures. 6. Semi-Iterative Methods. 7. Around Richardson's Projection. 8. System of Nonlinear Equations. Appendix. Schur's complement. Sylvester's and Schweins' identities. Bibliography. Index.
Bibliography Includes bibliographical references (pages 341-390) and index.
Note Print version record.
Language English.
Subject Equations, Simultaneous -- Numerical solutions.
Iterative methods (Mathematics)
Systèmes d'équations -- Solutions numériques.
Itération (Mathématiques)
MATHEMATICS -- Algebra -- Elementary.
Equations, Simultaneous -- Numerical solutions
Iterative methods (Mathematics)
Lineaire vergelijkingen.
Projectiemethoden (wiskunde)
Other Form: Print version: Brezinski, Claude, 1941- Projection methods for systems of equations. Amsterdam ; New York : Elsevier Science, 1997 0444827773 9780444827777 (DLC) 97043588 (OCoLC)37928481
ISBN 9780444827777
058547429X (electronic bk.)
9780585474298 (electronic bk.)
Standard No. AU@ 000048130662
CHNEW 001005744
DEBBG BV036962254
DEBBG BV039830122
DEBBG BV042317269
DEBSZ 276820037
DEBSZ 48235223X
NZ1 12434585

Available items only