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7 June 1995 Iterative solution methods for ill-posed problems
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Abstract
We describe new iterative methods for the solution of large ill-conditioned that arise from the discretization of ill-posed problems. In these methods a filter function, which determines the regularization of the problem, is chosen and expanded in terms of orthogonal polynomials. Each iteration yields one new term in this expansion. A variety of iterative methods, which differ in the choice of filter function and orthogonal polynomials, can be derived in this manner.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Daniela Calvetti, Lothar Reichel, and Q. Zhang "Iterative solution methods for ill-posed problems", Proc. SPIE 2563, Advanced Signal Processing Algorithms, (7 June 1995); https://doi.org/10.1117/12.211410
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