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 singular values of the operator.
Some properties of the Arnoldi based methods for linear ill-posed problems
NOVATI, PAOLO
2017-01-01
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 singular values of the operator.File in questo prodotto:
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