C. Roland, B. Beckermann, C. Brezinski
Altman's methods revisited
Key words : Conjugate gradient method, Krylov subspace methods.
Classifications: AMS(MOS): 65F10, 65E05.

Abstract

In this paper we discuss two different methods of Altman for solving systems of linear equations. These methods can be considered as Krylov subspace type methods for solving a projected counterpart of the original system. We discuss the link to classical Krylov subspace methods, and give some theoretical and numerical results on their convergence behavior. Also, some historical remarks on the work of Altman are presented.