A Quasi-Minimal Residual Variant of the Bi-CGSTAB Algorithm for Nonsymmetric Systems

• DOI: 10.1137/0915023
• Publication Date: 2005-03-01T03:42:10Z
• Authors: T. F. Chan; E. Gallopoulos; V. Simoncini; T. Szeto; C. H. Tong
• Keywords: Biconjugate gradient method

Motivated by a recent method of Freund [SIAM J. Sci. Comput., 14 (1993), pp. 470–482], who introduced quasi-minimal residual (QMR) version the conjugate gradients squared (CGS) algorithm, QMR variant biconjugate gradient stabilized (Bi-CGSTAB) algorithm van der Vorst that is called QMRCGSTAB, proposed for solving nonsymmetric linear systems. The motivation both variants to obtain smoother convergence behavior underlying method. authors illustrate this numerical experiments also show problems on which Bi-CGSTAB performs better than CGS, same advantage carries over QMRCGSTAB.