Abstract We propose several circulant preconditioners for systems defined by some functions g of Toeplitz matrices A n . In this paper we are interested in solving g ( A… Click to show full abstract
Abstract We propose several circulant preconditioners for systems defined by some functions g of Toeplitz matrices A n . In this paper we are interested in solving g ( A n ) x = b by the preconditioned conjugate method or the preconditioned minimal residual method, namely in the cases when g ( z ) are the functions e z , sin z and cos z . Numerical results are given to show the effectiveness of the proposed preconditioners.
               
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