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pro vyhledávání: '"Mikhail I. Sumin"'
Autor:
Mikhail I. Sumin
Publikováno v:
Ural Mathematical Journal, Vol 2, Iss 2 (2016)
This article is devoted to studying dual regularization method applied to parametric convex optimal control problem of controlled third boundary–value problem for parabolic equation with boundary control and with equality and inequality pointwise s
Externí odkaz:
https://doaj.org/article/3bae63c40e774b6d8499d434a3a13e8c
Autor:
Mikhail I. Sumin
Publikováno v:
Russian Universities Reports. Mathematics. :351-374
We consider a regular parametric nonlinear (nonconvex) problem for constrained extremum with an operator equality constraint and a finite number of functional inequality constraints. The constraints of the problem contain additive parameters, which m
Autor:
Mikhail I. Sumin
Publikováno v:
Russian Universities Reports. Mathematics. :58-79
The problem of finding a normal solution to an operator equation of the first kind on a pair of Hilbert spaces is classical in the theory of ill-posed problems. In accordance with the theory of regularization, its solutions are approximated by the ex
Autor:
Mikhail I. Sumin
Publikováno v:
Russian Universities Reports. Mathematics. :151-171
The paper is devoted to the regularization of the classical optimality conditions (COC) — the Lagrange principle and the Pontryagin maximum principle in a convex optimal control problem for a parabolic equation with an operator (pointwise state) eq
Publikováno v:
Inverse Problems in Science and Engineering. 26:1590-1611
Methods of near-field subsurface electromagnetic diagnostics that provides a subpulse-length resolution are developed and studied in experiments with the pulse microwave source-receiver scanning sy...
Autor:
Mikhail I. Sumin
Publikováno v:
IFAC-PapersOnLine. 51:871-876
Regularized Lagrange principles in non-iterative and iterative forms for the “simplest” convex programming problem in a Hilbert space with operator constraint-equality are formulated. On their basis regularized Lagrange principle and Pontryagin m
Autor:
Petr K. Gaikovich, Alexander I. Smirnov, Konstantin P. Gaikovich, Yelena S. Maksimovitch, Mikhail I. Sumin
Publikováno v:
Inverse Problems in Science and Engineering. 24:1215-1239
A new method in the theory of non-linear ill-posed problems is adapted and applied to various one-dimensional inverse scattering problems of electromagnetic subsurface diagnostics of permittivity inhomogeneities. Based on the developed theory, solvin
Autor:
Mikhail I. Sumin
Publikováno v:
Applied Mathematics. :1334-1350
The Kuhn-Tucker theorem in nondifferential form is a well-known classical optimality criterion for a convex programming problems which is true for a convex problem in the case when a Kuhn-Tucker vector exists. It is natural to extract two features co
Publikováno v:
2014 16th International Conference on Transparent Optical Networks (ICTON).