Preconditioners for Ill-Conditioned Toeplitz Systems Constructed from Positive Kernels

Abstract

In this paper, we are interested in the iterative solution of ill–conditioned Toeplitz systems generated by continuous non–negative real–valued functions f with a finite number of zeros. We construct new w–circulant preconditioners without explicit knowledge of the generating function f by approximating f by its convolution f ∗KN with a suitable positive… (More)
DOI: 10.1137/S1064827599351428

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