Some Properties of the Arnoldi-Based Methods for Linear Ill-Posed Problems

Abstract

In this paper we study some properties of the classical Arnoldi based methods for solving infinite dimensional linear equations involving compact operators. These problems are intrinsically ill-posed since a compact operator does not admit a bounded inverse. We study the convergence properties and the ability of these algorithms to estimate the dominant… (More)
DOI: 10.1137/16M106399X

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