Polynomial Based Iteration Methods for Symmetric Linear Systems - Couverture rigide

Fischer, Bernd Jurgen

 
9780471967965: Polynomial Based Iteration Methods for Symmetric Linear Systems

Synopsis

Large systems of linear equations arise frequently in numerical analysis and are the basis of many models in engineering and other applied sciences. This work provides a systematic study for the solution of symmetric linear systems by iterative methods. The analysis centres around the problems encountered when solving indefinite systems, with more emphasis on the properties of the underlying polynomials rather than more conventional matrix manipulations. In particular, a development and discussion of the properties of orthogonal polynomials leads to a unified and complete analysis of methods for solving symmetric linear systems. For each of the numerical methods described a MATLAB implementation is provided. The codes are available on the Internet.

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Biographie de l'auteur

Bernd Fischer is a Professor at the University of Lübeck. His research interests range from the solution of large linear systems of equations, the design and numerical treatment of dynamical systems arising in medical applications, to mathematical aspects of digital image processing with an emphasis on medical image registration problems.

Présentation de l'éditeur

A systematic study of the solution of symmetric linear systems by iterative methods. The analysis centers around the problems encountered when solving indefinite systems. Emphasizes the properties of the underlying polynomials rather than more conventional matrix manipulations.

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