Quasi-minimal residual smoothing technique for the IDR($s$) method

Abstract

The IDR( s) proposed by Sonneveld and Gijzen is an efficient method for solving large nonsymmetric linear systems. In this paper, QMRIDR( s), a new variant of the IDR( s) method is presented. In this method, the irregular convergence behavior of IDR( s) is remedied and both the fast and smooth convergence behaviors are expected. Numerical experiments are reported to show the performance of our method.