Mathematical Properties of Optimization Problems Defined by Positively Homogeneous Functions

J. B. Lasserre; J. B. Hiriart-Urruty

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Mathematical Properties of Optimization Problems Defined by Positively Homogeneous Functions

机译：由正均匀函数定义的最优化问题的数学性质

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摘要

We consider the nonlinear programming problem

机译：我们考虑非线性规划问题

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来源
《Journal of Optimization Theory and Applications 》 |2002年第1期| 31-52| 共22页
作者
J. B. Lasserre; J. B. Hiriart-Urruty;
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作者单位

Directeur de Recherche LAAS-CNRS;

Département de Mathématiques Université Paul Sabatier;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Nonlinear programming; homogeneous programming; global optimization;

机译：非线性规划;齐次规划;全局优化;

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专利

1. Mathematical Properties of Optimization Problems Defined by Positively Homogeneous Functions [J] . J. B. Lasserre, J. B. Hiriart-Urruty Journal of Optimization Theory and Applications . 2002 ,第1期

机译：由正均匀函数定义的最优化问题的数学性质
2. Duality of nonconvex optimization with positively homogeneous functions [J] . Yamanaka Shota, Yamashita Nobuo Computational optimization and applications . 2018 ,第2期

机译：具有正均匀功能的非凸优化的二元性
3. Global optimization of the difference of affine increasing and positively homogeneous functions [J] . Mohebi Atefeh, Mohebi Hossein Optimization: A Journal of Mathematical Programming and Operations Research . 2016 ,第10a12期

机译：仿射增加和正齐次函数差的全局优化
4. Branch and Bound Algorithm Using Cutting Angle Method for Global Minimization of Increasing Positively Homogeneous Functions [C] . Nguyen Van Thoai Advanced computational methods for knowledge engineering . 2013

机译：使用切角法的分支定界算法来增加正均函数的全局最小化
5. The impact of early grouping and user-defined functions on query optimization. [D] . Chiou, Shao-Fong. 1999

机译：早期分组和用户定义的功能对查询优化的影响。
6. Residues in SRP9/14 essential for elongation arrest activity of the signal recognition particle define a positively charged functional domain on one side of the protein [O] . Camille Mary, Anne Scherrer, Laurent Huck, 2010

机译：SRP9 / 14中对于信号识别颗粒的延长阻滞活性必不可少的残基在蛋白质的一侧定义了带正电的功能域
7. Duality of nonconvex optimization with positively homogeneous functions [O] . Yamanaka, Shota, Yamashita, Nobuo 2017

机译：具有正均匀函数的非凸优化的对偶性

Mathematical Properties of Optimization Problems Defined by Positively Homogeneous Functions

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