Preconditioning linear systems via matrix function evaluation
Numerical Analysis
2011-11-18 v2
Abstract
For the solution of discrete ill-posed problems, in this paper a novel preconditioned iterative method based on the Arnoldi algorithm for matrix functions is presented. The method is also extended to work in connection with Tikhonov regularization. Numerical experiments arising from the solution of integral equations and image restoration are presented.
Cite
@article{arxiv.1105.6367,
title = {Preconditioning linear systems via matrix function evaluation},
author = {Paolo Novati and Michela Redivo-Zaglia and Maria Rosaria Russo},
journal= {arXiv preprint arXiv:1105.6367},
year = {2011}
}