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Proceedings Paper

Iterative solution methods for ill-posed problems
Author(s): Daniela Calvetti; Lothar Reichel; Q. Zhang
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Paper 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.

Paper Details

Date Published: 7 June 1995
PDF: 10 pages
Proc. SPIE 2563, Advanced Signal Processing Algorithms, (7 June 1995); doi: 10.1117/12.211410
Show Author Affiliations
Daniela Calvetti, Stevens Institute of Technology (United States)
Lothar Reichel, Kent State Univ. (United States)
Q. Zhang, Kent State Univ. (United States)

Published in SPIE Proceedings Vol. 2563:
Advanced Signal Processing Algorithms
Franklin T. Luk, Editor(s)

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