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A new feasible directions method in nonlinear optimization
1992In 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, 1971Abstract 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
1988The 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
2005The 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, 1980C Z, X Renwei
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A feasible direction algorithm for nonlinear second-order cone programs
Optimization Methods and Software, 2019Alfredo Canelas +2 more
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A new norm-relaxed method of strongly sub-feasible direction for inequality constrained optimization
Applied Mathematics and Computation, 2005Jinbao Jian +2 more
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Feasible Direction Interior-Point Technique for Nonlinear Optimization
Journal of Optimization Theory and Applications, 1998J Herskovits, Herskovits J
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