On the Odir iterative method for non-symmetric indefinite linear systems
Anthony Theodore Chronopoulos, David R. Kincaid · Numerical Linear Algebra with Applications · 2001
Several Krylov subspace iterative methods have been proposed for the approximation of the solution of general non-symmetric linear systems. Odir is such a method. Here we study the restarted version of Odir for non-symmetric indefinite linear systems and we prove convergence under certain conditions on the matrix of coefficients. These results hold for all the restarted Krylov methods equivalent to Odir. We also introduce a new truncated Odir method which is proved to converge for a large class of non-symmetric indefinite linear systems. This new method requires one-half of the storage of the standard Odir. Copyright © 2001 John Wiley & Sons, Ltd.