An iterative method for symmetric indefinite linear systems
Commun. Korean Math. Soc. 2004 Vol. 19, No. 2, 375-388 Printed June 1, 2004
Homer F. Walker, Sucheol Yi Worcester Polytechnic Institute, Changwon National University
Abstract : For solving symmetric systems of linear equations, it is shown that a new Krylov subspace method can be obtained. The new approach is one of the projection methods, and we call it the projection method for convenience in this paper. The projection method maintains the residual vector like simpler GMRES, symmetric QMR, SYMMLQ, and MINRES. By studying the quasi-minimal residual method, we show that an extended projection method and the scaled symmetric QMR method are equivalent.