Two methods for the maximization of homogeneous polynomials over the simplex
Computational Optimization and Applications(2021)
Abstract
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.
MoreTranslated text
Key words
Optimization over the simplex, Homogeneous polynomials, Symmetric tensors, Numerical methods, Replicator transformation, Evolutionarily stable strategies, Convergence properties, 90C26, 91A22, 05C69
AI Read Science
Must-Reading Tree
Example
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined