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On the Convergence to Stationary Points of Deterministic and Randomized Feasible Descent Directions Methods

SIAM Journal on Optimization, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amir Beck, Nadav Hallak
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Feasible direction method for bilevel programming problem

Optimization, 2012
In this article, we investigate the application of feasible direction method for an optimistic non-linear bilevel programming problem. The convex lower level problem of an optimistic non-linear bilevel programming problem is replaced by relaxed KKT conditions. The feasible direction method developed by Topkis and Veinott [D.M.
Ayalew Getachew Mersha, Stephan Dempe
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Constrained Variable Metric Method With Feasible Directions

16th Design Automation Conference: Volume 2 — Optimal Design and Mechanical Systems Analysis, 1990
Abstract This paper proposes a new feasible direction algorithm based on the constrained variable metric method of Powell in order to handle the design optimization problmes which demand that all iterative points are feasible. The algorithm retains many advantages of the constrained variable metric method, makes use of the properties of ...
Wang Jianhua, Zhou Ji, Yu Jun
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A Sequential Quadratically Constrained Quadratic Programming Method of Feasible Directions

Applied Mathematics and Optimization, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian, Jin-bao   +3 more
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A feasible-direction method for nonlinear constrained optimization

ANNALI DELL UNIVERSITA DI FERRARA, 2002
The author considers a feasible-direction interior-point technique for the solution of nonlinear differentiable constrained optimization problems which was originally introduced by Herskovits. In the paper several updating rules for the parameters used in the algorithm are introduced and corresponding convergence properties are shown.
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A new feasible directions method in nonlinear optimization

1992
In each of the mechanical and discrete numerical models presented in the preceding chapters, the solution of a large nonlinear constrained optimization problem is required in order to evaluaute the actual residual stresses in body.
J. Orkisz, M. Pazdanowski
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Convergence of methods of feasible directions in extremal problems

USSR Computational Mathematics and Mathematical Physics, 1971
Abstract GENERAL theorems on the convergence conditions of one-step iteration methods for minimization problems with constraints are presented. These theorems are applied for the uniform derivation of both previously known and also new results on the convergence of specific methods. The problem of the minimization of the functional f(x) on the set Q
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A Method of Feasible Direction with FEM for Shape Optimization

1988
The avoidance of cracks in zones of stress concentrations by minimizing the maximal von Mises stress is very important in practical problems for the industry. In many applications it is necessary to allow for the change of traction vectors in large time intervals.
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Methods of feasible directions with increased gradient memory

2005
The class of feasible directions methods is a powerful tool for solving constrained minimization problems, min-max problems, and unconstrained minimization problems in the absence of continuity of the gradient. The different versions proposed either involve all the gradients and do not require "antizigzagging precautions" or involve only the ...
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On the feasible direction method in structural optimization

Computer-Aided Design, 1980
C Z, X Renwei
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