International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 4, Pages 753-762
doi:10.1155/S0161171281000586

On an accelerated procedure of extrapolation

Abstract

This paper presents some theoretical results concerning an extrapolation method, based on a completely consistent linear stationary iterative method of first degree, for the numerical solution of the linear system Au=b.The main purpose of the paper is to find ranges for the extrapolation parameter, such that the extrapolation method converges independently of whether the original iterative method is convergent or not.