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

摘要

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