Atomic optimization. I. Search Space Transformation and One-dimensional Problems

被引：6

作者：

Pozdyayev, V. V. ^{[1
]}

机构：

[1] Alekseev Nizhni Novgorod State Tech Univ, Arzamas Polytech Inst, Arzamas, Russia

来源：

AUTOMATION AND REMOTE CONTROL | 2013年 / 74卷 / 12期

关键词：

MATRIX;

D O I：

10.1134/S0005117913120096

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper studies optimization problems with polynomial objective functions and constraints in the form of inequalities. We propose a transformation of the solution method based on the theory of moments. This transformation allows to construct equivalent solution algorithms in the augmented original search space instead of the space of moments. Onedimensional optimization problems are explored in detail.

引用

页码：2069 / 2092

页数：24

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