J. Korean Math. Soc. 2011; 48(5): 939-952
Printed September 1, 2011
https://doi.org/10.4134/JKMS.2011.48.5.939
Copyright © The Korean Mathematical Society.
Muhammad Farooq and Abdellah Salhi
The University of Essex, The University of Essex
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.
Keywords: condition number, systems of linear equations, ill-conditioning, equivalent systems, Schur complement
MSC numbers: 65N12
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd