On Regularisation and Comparison of Methods for Solving Hilbert Linear Systems
Faculty of Mathematical Sciences, Mathematics Department, Navrongo Campus, Ghana
- Corresponding Author:
- Azizu S
Faculty of Mathematical Sciences
Mathematics Department, Navrongo Campus
E-mail: [email protected]
Received date: March 31, 2016; Accepted date:April 29, 2016; Published date: May 05, 2016
Citation: Azizu S (2016) On Regularisation and Comparison of Methods for Solving Hilbert Linear Systems. J Phys Math 7: 173. doi:10.4172/2090-0902.1000173
Copyright: © 2016 Azizu S. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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.