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An Efficient Computational Algorithm for Implementing the Maximum Entropy Method in Deconvolution Inversion Problems

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Radiophysics and Quantum Electronics Aims and scope

Abstract

We discuss a theoretical informational approach to solving ill-posed problems of function recovery based on the use of the maximum entropy principle. On this basis, we propose an efficient computational algorithm for implementing the procedure of solving the function-recovery problem and the method of regularization of the problem of function recovery from the convolution. In many cases, the proposed regularization method ensures high recovery quality. If the recovery accuracy is insufficient, then the Largange multipliers obtained by this method can be the best initial approximation (in the sense of the least squares) for their iterative refinement.

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Authors and Affiliations

  1. N. I. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    O. A. Morozov, T. G. Ryzhkova & V. R. Fidelman

Authors
  1. O. A. Morozov
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  2. T. G. Ryzhkova
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  3. V. R. Fidelman
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Morozov, O.A., Ryzhkova, T.G. & Fidelman, V.R. An Efficient Computational Algorithm for Implementing the Maximum Entropy Method in Deconvolution Inversion Problems. Radiophysics and Quantum Electronics 45, 658–665 (2002). https://doi.org/10.1023/A:1021737200188

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  • DOI: https://doi.org/10.1023/A:1021737200188

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