Farooq, Muhammad and Salhi, Abdellah (2011) IMPROVING THE SOLVABILITY OF ILL-CONDITIONED SYSTEMS OF LINEAR EQUATIONS BY REDUCING THE CONDITION NUMBER OF THEIR MATRICES. Journal of the Korean Mathematical Society, 48 (5). pp. 939-952. DOI https://doi.org/10.4134/jkms.2011.48.5.939
Farooq, Muhammad and Salhi, Abdellah (2011) IMPROVING THE SOLVABILITY OF ILL-CONDITIONED SYSTEMS OF LINEAR EQUATIONS BY REDUCING THE CONDITION NUMBER OF THEIR MATRICES. Journal of the Korean Mathematical Society, 48 (5). pp. 939-952. DOI https://doi.org/10.4134/jkms.2011.48.5.939
Farooq, Muhammad and Salhi, Abdellah (2011) IMPROVING THE SOLVABILITY OF ILL-CONDITIONED SYSTEMS OF LINEAR EQUATIONS BY REDUCING THE CONDITION NUMBER OF THEIR MATRICES. Journal of the Korean Mathematical Society, 48 (5). pp. 939-952. DOI https://doi.org/10.4134/jkms.2011.48.5.939
Abstract
This paper is concerned with the solution of ill-conditioned Systems of Linear Equations (SLE's) via the solution of equivalent SLE's which are well-conditioned. A matrix is first constructed from that of the given ill-conditioned system. Then, an adequate right-hand side is computed to make up the instance of an equivalent system. Formulae and algorithms for computing an instance of this equivalent SLE and solving it will be given and illustrated. © 2011 The Korean Mathematical Society.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | condition number; systems of linear equations; ill-conditioning; equivalent systems; Schur complement |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 05 Mar 2013 14:09 |
| Last Modified: | 04 Dec 2024 06:41 |
| URI: | http://repository.essex.ac.uk/id/eprint/5555 |