This article is cited in 3 papers

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

A. V. Bayev

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

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.

Key words: optimal recovery, method of extending compacts, optimal regularizing algorithm, linear operator equations.

UDC: 519.642.8

Received: 17.07.2007
Revised: 26.02.2008

 English version: Computational Mathematics and Mathematical Physics, 2008, 48:11, 1936–1944

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