Titlebook: Surveys on Solution Methods for Inverse Problems; David Colton,Heinz W. Engl,William Rundell Book 2000 Springer-Verlag Wien 2000 Ill-posed

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冷淡一切

千篇一律

ms are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, nee

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Iterative Regularization Techniques in Image Reconstruction,. We present a number of preconditioners for the minimization of the corresponding Tikhonov functional, and discuss the alternative of terminating the iteration early, rather than adding a stabilizing term in the Tikhonov functional. The methods are examplified for a (synthetic) model problem.

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A Survey of Regularization Methods for First-Kind Volterra Equations,nd to destroy the non-anticipatory (or causal) nature of the original Volterra problem because such methods typically rely on computation of the Volterra adjoint operator, an anticipatory operator. In this survey we pay special attention to particular regularization methods, both classical and nontr

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