Augmented Arnoldi-Tikhonov Regularization Methods for Solving Large-Scale Linear Ill-Posed Systems

Yiqin Lin, Liang Bao and Yanhua Cao

Mathematical Problems in Engineering, 2013, vol. 2013, 1-8

Abstract:

We propose an augmented Arnoldi-Tikhonov regularization method for the solution of large-scale linear ill-posed systems. This method augments the Krylov subspace by a user-supplied low-dimensional subspace, which contains a rough approximation of the desired solution. The augmentation is implemented by a modified Arnoldi process. Some useful results are also presented. Numerical experiments illustrate that the augmented method outperforms the corresponding method without augmentation on some real-world examples.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:548487

DOI: 10.1155/2013/548487

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