Two methods for the maximization of homogeneous polynomials over the simplex

被引：0

作者：

Faizan Ahmed

Georg Still

机构：

[1] University of Twente,Department of Computer Science

[2] University of Twente,Department of Mathematics

来源：

Computational Optimization and Applications | 2021年 / 80卷

关键词：

Optimization over the simplex; Homogeneous polynomials; Symmetric tensors; Numerical methods; Replicator transformation; Evolutionarily stable strategies; Convergence properties; 90C26; 91A22; 05C69;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper deals with the numerical solution of the problem P to maximize a homogeneous polynomial over the unit simplex. We discuss the convergence properties of the so-called replicator dynamics for solving P. We further examine an ascent method, which also makes use of the replicator transformation. Numerical experiments with polynomials of different degrees illustrate the theoretical convergence results.

引用

页码：523 / 548

页数：25