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- W2951817899 abstract "In this article, we introduce and study accelerated Landweber methods for linear ill-posed problems obtained by an alteration of the coefficients in the three-term recurrence relation of the nu-methods. The residual polynomials of the semi-iterative methods under consideration are linked to a family of co-dilated ultraspherical polynomials. This connection makes it possible to increase the decay of the residual polynomials at the origin by means of a dilation parameter. This increased decay has advantages when solving linear ill-posed equations in which the spectrum of the involved operators is clustered at the origin. The convergence order of the new semi-iterative methods turns out to be the same as the convergence order of the original nu-methods. The new algorithms are tested numerically and a simple adaptive scheme is developed in which an optimal dilation parameter is computed." @default.
- W2951817899 created "2019-06-27" @default.
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- W2951817899 date "2012-06-09" @default.
- W2951817899 modified "2023-09-27" @default.
- W2951817899 title "Accelerated Landweber methods based on co-dilated orthogonal polynomials" @default.
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