Journal
BIT NUMERICAL MATHEMATICS
Volume 43, Issue 2, Pages 263-283Publisher
SPRINGER
DOI: 10.1023/A:1026083619097
Keywords
ill-posed problem; regularization; Gauss quadrature; Lanczos bidiagonalization; discrepancy principle
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Many numerical methods for the solution of linear ill-posed problems apply Tikhonov regularization. This paper presents a new numerical method, based on Lanczos bidiagonalization and Gauss quadrature, for Tikhonov regularization of large-scale problems. An estimate of the norm of the error in the data is assumed to be available. This allows the value of the regularization parameter to be determined by the discrepancy principle.
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