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Title of Article

SOLUTION OF A CONSTRAINED PSEUDOINVERSION PROBLEM BY THE SECOND ORDER CONTINUOUS REGULARIZATION METHOD


Issue
1
Date
2011

Article type
scientific article
UDC
517.983.54
Pages
176-182
Keywords
constrained pseudosolution to an operator equation in a Hilbert space, normal constrained pseudoso-lution, continuous regularization method, constrained pseudoinversion problem


Authors
Bondar Elena Aleksandrovna
Nizhegorodskiy gosudarstvennyy pedagogicheskiy universitet

Shafiev Ramiz Aliovsad ogly
Nizhegorodskiy gosudarstvennyy pedagogicheskiy universitet


Abstract
A regularizing algorithm to solve the constrained pseudoinversion problem has been proposed. The algorithm is based on the Cauchy problem solution for a second order linear differential equation in the Hilbert space. The stabi-lization conditions have been found of the Cauchy problem solution to the normal solution of the problem consid-ered in the case of perturbed input data.

File (in Russian)