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An optimal regularizing algorithm for the recovery of functionals in linear inverse problems with sourcewise represented solution

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Abstract

A linear operator equation with a sourcewise represented exact solution is solved approximately. To this end, the method of extending compacts developed in an earlier work is applied. Based on this method, a new algorithm is proposed for recovering the value of a linear functional at the solution of the linear operator equation. This algorithm is shown to be an optimal regularizing one.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Moscow, 119992, Russia

    A. V. Bayev

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  1. A. V. Bayev
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Correspondence to A. V. Bayev.

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Original Russian Text © A.V. Bayev, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 11, pp. 1933–1941.

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Bayev, A.V. An optimal regularizing algorithm for the recovery of functionals in linear inverse problems with sourcewise represented solution. Comput. Math. and Math. Phys. 48, 1936–1944 (2008). https://doi.org/10.1134/S0965542508110031

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  • DOI: https://doi.org/10.1134/S0965542508110031

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