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.

引用

页码：1936 / 1944

页数：9

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