The dual cone of sums of non-negative circuit polynomials

被引：1

作者：

Dressler, Mareike ^{[1
]}

Naumann, Helen ^{[2
]}

Theobald, Thorsten ^{[2
]}

机构：

[1] Univ Calif San Diego, Dept Math, 9500 Gilman Dr, La Jolla, CA 92093 USA

[2] Goethe Univ, FB 12 Inst Math, Postfach 11 19 32, D-60054 Frankfurt, Germany

来源：

ADVANCES IN GEOMETRY | 2021年 / 21卷 / 02期

关键词：

Positive polynomials; non-negative circuit polynomials; dual cone; polynomial optimization;

D O I：

10.1515/advgeom-2020-0019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a non-empty, finite subset A subset of N-0(n) let C-sonc(A) is an element of R[x(1),..., x(n)] be the cone of sums of non-negative circuit polynomials with support A. We derive a representation of the dual cone (C-sonc(A))* and deduce an optimality criterion for sums of non-negative circuit polynomials in polynomial optimization.

引用

页码：227 / 236

页数：10

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