Numerical algorithm for solving a class of optimization problems with a constraint in the form of a subset of points of a smooth surface

DOI10.1134/S0965542522120077OpenAlexW4315434487MaRDI QIDQ2679082

Yanyan Li

Publication date: 19 January 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522120077

zbMATH Keywords

convergence of algorithmconvex programming problemsmooth surfacenecessary conditions for local minimumopen convex set

Mathematics Subject Classification ID

Numerical analysis (65-XX) Operations research, mathematical programming (90-XX)

Cites Work

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• Stable gradient projection method for nonlinear conditionally well-posed inverse problems
• Generalized memory gradient projection method for non-linear programming with non-linear equality and in-equality constraints
• Gradient projection method for a class of optimization problems with a constraint in the form of a subset of points of a smooth surface
• Algorithms for projecting a point onto a level surface of a continuous function on a compact set
• A two-step regularized linearization method for solving minimization problems.
• Some continuous methods for solving quasi-variational inequalities
• A regularized continuous extragradient method of the first order with a variable metric for problems of equilibrium programming
• Linear convergence analysis of the use of gradient projection methods on total variation problems
• Gradient projection method on matrix manifolds
• On the gradient projection method for weakly convex functions on a proximally smooth set
• Numerical algorithm for minimizing a convex function on the intersection of a smooth surface and a convex compact set
• Gradient projection method for optimization problems with a constraint in the form of the intersection of a smooth surface and a convex closed set
• Solution of ill-posed nonconvex optimization problems with accuracy proportional to the error in input data
• Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint
• Gradient Projection and Conditional Gradient Methods for Constrained Nonconvex Minimization

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