Two methods for the maximization of homogeneous polynomials over the simplex
研究了在单位单纯形上最大化齐次多项式的数值解法，讨论了复制动力学和一种利用复制变换的上升方法的收敛性，并通过不同次数的多项式数值实验验证了理论结果。
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.