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Polynomial based iteration methods for symmetric linear systems / Bernd Fischer

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Publisher number: CL68Language: English Series: Classics in applied mathematics ; 68Publisher: Philadelphia, Pa : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2011Description: 283 SISBN:
  • 9781611971910
  • 9781611971927
  • 1611971918
  • 9781611971910
Subject(s): Additional physical formats: 9781611971927 | 1611971918 | Erscheint auch als Druck-AusgabeDDC classification:
  • 518/.26 23
MSC: MSC: *65F10 | 65-02 | 35J25 | 65N30LOC classification:
  • QA297.8
DOI: DOI: 10.1137/1.9781611971927Online resources: Additional physical formats: Also available in print version.
Contents:
Includes bibliographical references and index
Introduction -- Orthogonal polynomials -- Chebyshev and optimal polynomials -- Orthogonal polynomials and krylov subspaces -- Estimating the spectrum and the distribution function -- Parameter free methods -- Parameter dependent methods -- The stokes problem -- Approximating the A-norm.
Summary: This book provides a concise introduction to computational methods for solving large linear systems of equations. It is the only textbook that treats iteration methods for symmetric linear systems from a polynomial point of view. This particular feature enables readers to understand the convergence behavior and subtle differences of the various schemes, which are useful tools for the design of powerful preconditioners. Published nearly 15 years ago, Polynomial Based Iteration Methods for Symmetric Linear Systems continues to be useful to the mathematical, scientific, and engineering communities as a presentation of what appear to be the most efficient methods for symmetric linear systems of equations. To help potential users of numerical iteration algorithms design schemes for their particular needs, the author provides MATLAB code on a supplementary Web page to serve as a guideline. The code not only solves the linear system but also computes the underlying residual polynomials, illustrating the convergence behavior of the given linear systemPPN: PPN: 722018649Package identifier: Produktsigel: ZDB-72-SIA
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