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The determination of sparse eigensystems and parallel linear system solvers

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posted on 27.02.2018 by Javad Shanehchi
The algebraic eigenvalue problem occurring in a variety of problems in the Natural, Engineering and Social Sciences areas can with some advantage be solved by matrix methods. However, these problems become more difficult to handle when the matrices involved are large and sparse because the storage and manipulations of these types of matrices have to be achieved in such ways that firstly, no storage is wasted by retaining the zero elements of the matrix and secondly, saving valuable computer time by not operating on the zero elements when unnecessary. For this purpose, we have previously developed a software package on the storage and manipulation of sparse matrices, which consists of basic matrix operations (i.e. addition, multiplication, etc.) and the solution of linear systems by iterative methods. However, in that work we encountered a great deal of difficulty in handling the operations which generate non-zero elements during processes such as the Gaussian elimination process. [Continues.]

Funding

Loughborough University of Technology, Department of Computer Studies.

History

School

  • Science

Department

  • Computer Science

Publisher

© Javad Shanehchi

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 2.5 Generic (CC BY-NC-ND 2.5) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by-nc-nd/2.5/

Publication date

1980

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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