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A New Algorithm for a Posteriori Error Estimation for Approximate Solutions of Linear Ill-Posed Problems

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dc.contributor.authorLeonov, A. S.
dc.contributor.authorЛеонов, Александр Сергеевич
dc.date.accessioned2024-11-21T08:40:18Z
dc.date.available2024-11-21T08:40:18Z
dc.date.issued2019
dc.description.abstractA new algorithm for a posteriori estimation of the error in solutions to linear operator equations of the first kind in a Hilbert space is proposed and justified. The algorithm reduces the variational problem of a posteriori error estimation to two special problems of maximizing smooth functionals under smooth constraints. A finite-dimensional version of the algorithm is considered. The results of a numerical experiment concerning a posteriori error estimation for a typical inverse problem are presented. It is shown experimentally that the computation time required by the algorithm is less, on average, by a factor of 1.4 than in earlier proposed methods.
dc.format.extentС. 193-200;
dc.identifier.citationLeonov, A. S. A New Algorithm for a Posteriori Error Estimation for Approximate Solutions of Linear Ill-Posed Problems / Leonov, AS // Computational Mathematics and Mathematical Physics. - 2019. - 59. - № 2. - P. 193-200;. - 10.1134/S0965542519020106
dc.identifier.doi10.1134/S0965542519020106
dc.identifier.urihttps://www.doi.org/10.1134/S0965542519020106
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dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/18033
dc.relation.ispartofComputational Mathematics and Mathematical Physics
dc.titleA New Algorithm for a Posteriori Error Estimation for Approximate Solutions of Linear Ill-Posed Problems
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue2
oaire.citation.volume59
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