A novel preconditioned iterative method for solving discrete ill-posed problems, 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.
Preconditioning linear systems via matrix function evaluation
NOVATI, PAOLO;REDIVO ZAGLIA, MICHELA;RUSSO, MARIA ROSARIA
2012
Abstract
A novel preconditioned iterative method for solving discrete ill-posed problems, 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.
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