Search Results - subject:"Symmetric function"

A modification of the <Emphasis FontCategory="NonProportional">DIRECT method for Lipschitz global optimization for a symmetric function

Grbić, Ratko; Nyarko, Emmanuel; Scitovski, Rudolf - In: Journal of Global Optimization 57 (2013) 4, pp. 1193-1212

In this paper, we consider a global optimization problem for a symmetric Lipschitz continuous function. An efficient modification of the well-known <Emphasis FontCategory="NonProportional">DIRECT (DIviding RECTangles) method called <Emphasis FontCategory="NonProportional">SymDIRECT is proposed for solving this problem. The method is illustrated and tested on several standard...</emphasis></emphasis>

Persistent link: https://www.econbiz.de/10010994144

The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications

Chu, Yu-Ming; Xia, Wei-Feng; Zhang, Xiao-Hui - In: Journal of Multivariate Analysis 105 (2012) 1, pp. 412-421

For x=(x1,x2,…,xn)∈R+n, the second dual form of the Hamy symmetric function is defined by Hn∗∗(x,r)=Hn∗∗(x1,x2,…,xn …

Persistent link: https://www.econbiz.de/10011042071

Smooth Convex Approximation to the Maximum Eigenvalue Function

Chen, Xin; Qi, Houduo; Qi, Liqun; Teo, Kok-Lay - In: Journal of Global Optimization 30 (2004) 2, pp. 253-270

Persistent link: https://www.econbiz.de/10008925235