Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint

Chernyaev Yu. A.

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Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint

机译：求解以光滑表面为约束条件的数学编程问题的数值算法

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摘要

A numerical algorithm for minimizing a convex function on a smooth surface is proposed. The algorithm is based on reducing the original problem to a sequence of convex programming problems. Necessary extremum conditions are examined, and the convergence of the algorithm is analyzed.

机译：提出了最小化光滑表面上凸函数的数值算法。该算法基于将原始问题简化为一系列凸规划问题。检查必要的极值条件，并分析算法的收敛性。

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《Computational mathematics and mathematical physics》 |2016年第3期|共6页
作者
Chernyaev Yu. A.;
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正文语种 eng
中图分类计算数学;
关键词
smooth surface; convex programming problem; projection onto a nonconvex set; necessary conditions for a local minimum; convergence of an algorithm;

机译：光滑的表面;凸规划问题;投影到非凸集上;局部最小值的必要条件;算法的收敛性;

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1. Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint [J] . Chernyaev Yu. A. Computational mathematics and mathematical physics . 2016,第3期

机译：求解以光滑表面为约束条件的数学编程问题的数值算法
2. Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization [J] . Gui-Hua Lin, Xiaojun Chen, Masao Fukushima Mathematical Programming . 2009,第1a2期

机译：通过逼近求解具有平衡约束的随机数学程序，并通过惩罚平滑隐式程序
3. A SMOOTH QP-FREE ALGORITHM WITHOUT A PENALTY FUNCTION OR A FILTER FOR MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS [J] . JIANLING LI, CHUNTING LU, YOUFANG ZENG Numerical Algebra, Control and Optimization . 2015,第2期

机译：一种无惩罚函数的平滑QP-free算法或具有互补约束的数学程序的滤波器
4. An Algorithm Inspired by Constraint Solvers to Infer Inductive Invariants in Numeric Programs [C] . Antoine Mine, Jason Breck, Thomas Reps European symposium on programming;European joint conferences on theory and practice of software . 2016

机译：约束求解器启发的算法推论数字程序中的归纳不变量
5. Algorithms for mathematical programs with equilibrium constraints with applications to deregulated electricity markets. [D] . Pieper, Heiko. 2001

机译：具有平衡约束的数学程序的算法及其在放松管制的电力市场中的应用。
6. Modeling of Disintegration and Dissolution Behavior of Mefenamic Acid Formulation Using Numeric Solution of Noyes-Whitney Equation with Cellular Automata on Microtomographic and Algorithmically Generated Surfaces [O] . Reiji Yokoyama, Go Kimura, Christian M. Schlepütz, 2018

机译：用显微镜和算法生成的表面上带有细胞自动机的Noyes-Whitney方程数值解法对甲胺酸制剂的崩解和溶解行为进行建模
7. Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization [O] . Gui-hua Lin, Xiaojun Chen, Masao Fukushima 2014

机译：通过近似和平滑隐式编程与惩罚来解决具有平衡约束的随机数学程序
8. Computer Program for Solving Mathematical Programs With Nonlinear Programs in the Constraints [R] . Bracken, J., McGill, J. T. 1972

机译：约束下非线性程序求解数学程序的计算机程序

Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint

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