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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2001

The Fast Solution of Periodic Integral and Pseudodifferential Equations by Gmres

  • R. Plato EMAIL logo and Gennadi Vainikko

Abstract

In this paper we consider GMRES to solve finite-dimensional approxi- mations of a class of well-posed linear operator equations in Hilbert spaces. It is shown that the speed of convergence is superlinear. As a consequence we have that GMRES can be used as a fast solver of a fully discrete variant of the trigonometric Galerkin equations associated with periodic integral equations.

Received: 2001-07-25
Revised: 2002-01-23
Accepted: 2002-02-21
Published Online: 2001
Published in Print: 2001

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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