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Iterative methods for a class of large, sparse, nonsymmetric linear systems

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thesis
posted on 15.05.2018, 08:31 authored by Changjun Li
Iterative methods are considered for the numerical solution of large, sparse, nonsingular, and nonsymmetric systems of linear equations Ax=b, where it is also required that A is p-cyclic (p≥2). Firstly, it is shown that the SOR method applied to the system with A as p-cyclic, if p>2, has a slower rate of convergence than the SOR method applied to the same system with A considered as 2-cyclic under some conditions. Therefore, the p-cyclic matrix A should be partitioned into 2-cyclic form when the SOR method is applied. [Continues.]

Funding

Chinese Academy of Sciences.

History

School

  • Science

Department

  • Computer Science

Publisher

© Changjun Li

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

1989

Notes

A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.

Language

en

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