An Optimal Regularizing Algorithm for the Recovery of Functionals in Linear Inverse Problems with Sourcewise Represented Solution

被引：0
|
作者：
Bayev, A. V. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119992, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 11期
基金：
俄罗斯基础研究基金会;
关键词：
optimal recovery; method of extending compacts; optimal regularizing algorithm; linear operator equations;
D O I：
10.1134/S0965542508110031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：1936 / 1944
页数：9
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