کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4635102 | 1340706 | 2007 | 8 صفحه PDF | دانلود رایگان |
In a recent paper [X.Y. Wu, R. Shao, Yiran Zhu, New iterative improvement of solution for an ill-conditioned system of linear equations based on a linear dynamic system, Comput. Math Appl. 44 (2002) 1109–1116], the authors analyzed the dynamic behavior for Wilkinson’s iterative improvement of solution and proposed a new iterative improvement of solution for an ill-conditioned system of linear equations based on a linear dynamic system. It was claimed that Wilkinson’s iterative improvement of solution can be regarded as the explicit Euler method with fixed step size h = 1 for the dynamic system. In this paper, the iterative improvement of solution with automatic step-size control is presented for linear system of algebraic equations. The convergence of the iterative procedure is shown for both stationary and non-stationary iteration, when the procedure is thought of as an iterative method. Numerical experiments are accompanied in comparison with Wilkinson’s iterative improvement.
Journal: Applied Mathematics and Computation - Volume 193, Issue 2, 1 November 2007, Pages 506–513