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Title: A preconditioned Chebyshev iterative method for solving symmetric and unsymmetric linear systems
Authors: Kammoonah, Mohamed A.M.S.
Issue Date: 1978
Publisher: © Mohamed Ali M.S. Kammoonah
Abstract: In this thesis the application of preconditioning to the Chebyshev iterative method is presented. Large, sparse, symmetric and unsymmetric linear systems which are derived from the finite difference discretization of second order (self-adjoint) partial differential equations over a rectangular domain are obtained and solved by a second order iterative method based on the scaled and translated Chebyshev polynomials in a preconditioned form. Further, using a formula previously given for the optimum preconditioning parameter, an adaptive procedure is presented for deriving this value efficiently for a variety of boundary value problems. A numerical example is described and experimental results are obtained which confirm the theory.
Description: A Master's Thesis. Submitted in partial fulfilment of the requirements for the award of Master of Philosophy of Loughborough University.
URI: https://dspace.lboro.ac.uk/2134/13653
Appears in Collections:MPhil Theses (Computer Science)

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