On canonical duality theory and constrained optimization problems

被引：2

作者：

Zalinescu, Constantin ^{[1
,2
]}

机构：

[1] Romanian Acad, Octav Mayer Inst Math, Iasi Branch, Iasi 700505, Romania

[2] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2022年 / 82卷 / 04期

关键词：

Constrained optimization problem; Dual function; Extended Lagrangian; Canonical duality theory; Counterexample;

D O I：

10.1007/s10898-021-01021-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Canonical duality theory (CDT) is presented by its creator DY Gao as a theory which can be used for solving a large class of challenging real-world problems. It is the aim of this paper to study rigorously constrained optimization problems in finite dimensional spaces using the method suggested by CDT and to discuss several results published in the last ten years.

引用

页码：1053 / 1070

页数：18

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