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Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations

by Jörg Liesen

Institution: Universität Bielefeld
Department:
Degree: PhD
Year: 1999
Keywords:
Posted:
Record ID: 1107382
Full text PDF: http://pub.uni-bielefeld.de/publication/2301740


Abstract

This thesis contributes to the development of the rapidly growing field of polynomial iterative methods (PIMs) for systems of linear equations. Our main contributions are the construction and analysis of the ABF method, a new hybrid PIM, and new convergence results for GMRES, a well-known parameter-free PIM. We furthermore derive a new polynomial preconditioner from the iteration polynomials of the ABF method.

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