## The Fast Solution of Periodic Integral and Pseudodifferential Equations by GMRES (2001)

by
R. Plato
,
G. Vainikko

### BibTeX

@MISC{Plato01thefast,

author = {R. Plato and G. Vainikko},

title = {The Fast Solution of Periodic Integral and Pseudodifferential Equations by GMRES},

year = {2001}

}

### OpenURL

### Abstract

In this paper we consider GMRES to solve nite-dimensional approximations 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.