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2016 On Regularisation and Comparison of Methods for Solving Hilbert Linear Systems
S. Azizu
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J. Phys. Math. 7(2): 1-3 (2016). DOI: 10.4172/2090-0902.1000173

Abstract

This paper deals with linear ill-posed problems relating to Hilbert Systems using comparisons of methods (Matlab Backslash, SVD, GMRES, QR, and PCG) including their regularizations. Hilbert systems of varying sizes were investigated and several results on these methods were presented in tabular form based on error and relative error norm. From our numerical results ran on Matlab version 7.01 only QR regularization method is recommended for the solution of Hilbert linear system.

Citation

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S. Azizu. "On Regularisation and Comparison of Methods for Solving Hilbert Linear Systems." J. Phys. Math. 7 (2) 1 - 3, 2016. https://doi.org/10.4172/2090-0902.1000173

Information

Published: 2016
First available in Project Euclid: 31 August 2017

Digital Object Identifier: 10.4172/2090-0902.1000173

Keywords: error norm , GMRES , Hilbert system , QR factorisation , SVD decomposition

Rights: Copyright © 2016 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.7 • No. 2 • 2016
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