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Call Number 512.9/42
Author Brezinski, Claude, 1941-
Title Projection methods for systems of equations [electronic resource] / Claude Brezinski.
Publication Amsterdam ; New York : Elsevier Science, 1997.
Material Info. vii, 400 p. : ill. ; 25 cm.
Series Studies in computational mathematics ; 7
Summary Note 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.<P>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.<P>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.
Notes Includes bibliographical references (p. 341-390) and index.
Notes 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.
Notes Electronic reproduction. Amsterdam : Elsevier Science & Technology, 2007.
ISBN 9780444827777
ISBN 0444827773
Subject Equations, Simultaneous Numerical solutions.
Subject Iterative methods (Mathematics)
Subject Lineaire vergelijkingen.
Subject Projectiemethoden (wiskunde)
Subject Electronic books.
Added Entry ScienceDirect (Online service)
Date Year, Month, Day:01405141
Link An electronic book accessible through the World Wide Web; click for information ScienceDirect
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