Search Results - "Evtushenko, Yu. G."

Exact Formula for Solving a Degenerate System of Quadratic Equations by Evtushenko, Yu. G., Tret’yakov, A. A.

“…The paper is devoted to the solution of a nonlinear system of equations , where is a quadratic mapping acting from to . The derivative is assumed to be…”
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Convergence of Continuous Analogues of Numerical Methods for Solving Degenerate Optimization Problems and Systems of Nonlinear Equations by Evtushenko, Yu. G., Tret’yakov, A. A.

“…A new approach is proposed for studying the convergence of continuous analogues of the gradient and Newton methods as applied to degenerate nonlinear systems…”
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Method for False Extrema Localization in Global Optimization by Evtushenko, Yu. G., Tret’yakov, A. A.

“…The problem of finding the global minimum of a nonnegative function on a positive parallelepiped in n -dimensional Euclidean space is considered. A method for…”
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p-Regularity Theory and the Existence of a Solution to a Boundary Value Problem Continuously Dependent on Boundary Conditions by Evtushenko, Yu. G., Medak, B., Tret’yakov, A. A.

“…For a given boundary value problem, the existence of a solution depending continuously on the boundary conditions is analyzed. Previously, such a fact has been…”
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Numerical Study of Stability of an Algorithm for Identifying the Thermal Conductivity in the Three-Dimensional Case by Evtushenko, Yu. G., Zubov, V. I., Albu, A. F.

“…We consider the problem of identifying the temperature-dependent thermal conductivity of a material in the three-dimensional case. We numerically study the…”
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Application of Second-Order Optimization Methods for Solving an Inverse Coefficient Problem in the Three-Dimensional Statement by Albu, A. F., Evtushenko, Yu. G., Zubov, V. I.

“…An inverse problem of finding a temperature-dependent thermal conductivity of a substance is considered. The analysis is based on the first boundary value…”
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A New View of Some Fundamental Results in Optimization by Evtushenko, Yu. G., Tret’yakov, A. A.

“…Some fundamental optimization results are proved in new ways, which are not traditional and provide a new view of well-known results. Constructions of…”
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On the Equivalence of Singular and Ill-Posed Problems: The p-Factor Regularization Method by Evtushenko, Yu. G., Bednarczuk, E., Prusinska, A., Tret’yakov, A. A.

“…The local equivalence of singular and ill-posed problems in a class of sufficiently smooth mappings is shown, which justifies the use of the p -factor…”
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On One Approach to the Numerical Solution of a Coefficient Inverse Problem by Albu, A. F., Evtushenko, Yu. G., Zubov, V. I.

“…An approach to solving the problem of determining the thermal conductivity coefficient of a substance based on the results of observing the dynamics of the…”
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Some Properties of Smooth Convex Functions and Newton’s Method by Denisov, D. V., Evtushenko, Yu. G., Tret’yakov, A. A.

“…New properties of convex infinitely differentiable functions related to extremal problems are established. It is shown that, in a neighborhood of the solution,…”
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Locally Polynomial Method for Solving Systems of Linear Inequalities by Evtushenko, Yu. G., Tret’yakov, A. A.

“…A numerical method combining a gradient technique with the projection onto a linear manifold is proposed for solving systems of linear inequalities. It is…”
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A New Class of Lyapunov Functions for Stability Analysis of Singular Dynamical Systems. Elements ofp-Regularity Theory by Evtushenko, Yu. G., Tret’yakov, A. A.

“…— A new approach is proposed for studying the stability of dynamical systems in the case when traditional Lyapunov functions are ineffective or not applicable…”
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Application of the Fast Automatic Differentiation Technique for Solving Inverse Coefficient Problems by Albu, A. F., Evtushenko, Yu. G., Zubov, V. I.

“…Results obtained by the authors in solving inverse coefficient problems are overviewed. The inverse problem under consideration is to determine a…”
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Generalized fast automatic differentiation technique by Evtushenko, Yu. G., Zubov, V. I.

“…A new efficient technique intended for the numerical solution of a broad class of optimal control problems for complicated dynamical systems described by…”
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Constructive Generalization of Classical Sufficient Second-Order Optimality Conditions by Evtushenko, Yu. G., Tret’yakov, A. A.

“…New sufficient second-order optimality conditions for equality constrained optimization problems are proposed, which significantly strengthen and complement…”
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2-Factor Newton Method for Solving Constrained Optimization Problems with a Degenerate Kuhn–Tucker System by Evtushenko, Yu. G., Tret’yakov, A. A.

“…A new method is proposed for solving constrained optimization problems with inequality constraints in the case when the system of Kuhn–Tucker necessary…”
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Newton-Type Method for Solving Systems of Linear Equations and Inequalities by Golikov, A. I., Evtushenko, Yu. G., Kaporin, I. E.

“…A Newton-type method is proposed for numerical minimization of convex piecewise quadratic functions, and its convergence is analyzed. Previously, a similar…”
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A New Class of Theorems of the Alternative by Golikov, A. I., Evtushenko, Yu. G.

“…The connection is established between theorems of the alternative for linear systems of equations and/or inequalities and duality theorems in linear…”
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An Approach to Determining the Variation of a Functional with Singularities by Albu, A. F., Evtushenko, Yu. G., Zubov, V. I.

“…A new method is proposed for computing the first variation of a functional in the case when the considered domain or its boundary contains singular points. In…”
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A New Proof of the Kuhn–Tucker and Farkas Theorems by Evtushenko, Yu. G., Tret’yakov, A. A.

“…For the minimization problem for a differentiable function on a set defined by inequality constraints, a simple proof of the Kuhn–Tucker theorem in the Fritz…”
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