Iterative refinement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations

摘要

Although the idea of iteration refinement for improving the computed solution to a system of linear equations can go back to 1948, the technique has remained popular [SIAM, Philadelphia, PA, 1998; BIT 17 (1977) 303; Math. Comput. 35 (1980) 817; J. Numer. Anal. 17(4) (1997) 495]. In this paper, a new iterative improvement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations is proposed. Both theoretical convergence analysis and numerical experiments are presented to show the efficiency and accuracy of our method. (C) 2002 Elsevier Science Inc. All rights reserved. [References: 8]