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An optimal regularizing algorithm for the recovery of functionals in linear inverse problems with sourcewise represented solution
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 11, pp. 1933-1941 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     title = {An optimal regularizing algorithm for the recovery of functionals in linear inverse problems with sourcewise represented solution},
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A. V. Bayev. An optimal regularizing algorithm for the recovery of functionals in linear inverse problems with sourcewise represented solution. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 11, pp. 1933-1941. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_11_a2/

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