Filled functions for unconstrained global optimization

Authors:
Zheng Xu;Hong-Xuan Huang;Panos M. Pardalos;Cheng-Xian Xu
Affiliations:
Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, USA/ Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China;Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China/;Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, USA/ Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China;Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China
Venue:
Journal of Global Optimization
Year:
2001

Citing 4
Cited 17

A class of filled functions for finding global minimizers of several variables

Journal of Optimization Theory and Applications
A filled function method for finding a global minimizer of a function of several variables

Mathematical Programming: Series A and B
The globally convexized filled functions for global optimization

Applied Mathematics and Computation
Introduction to Global Optimization (Nonconvex Optimization and Its Applications)

Introduction to Global Optimization (Nonconvex Optimization and Its Applications)

A New Filled Function Method for Global Optimization

Journal of Global Optimization
A Hybrid Descent Method for Global Optimization

Journal of Global Optimization
Discrete Filled Function Method for Discrete Global Optimization

Computational Optimization and Applications
A Class of Augmented Filled Functions

Computational Optimization and Applications
A Novel Filled Function Method and Quasi-Filled Function Method for Global Optimization

Computational Optimization and Applications
Discrete global descent method for discrete global optimization and nonlinear integer programming

Journal of Global Optimization
A filled function method for global optimization

Journal of Computational and Applied Mathematics
A hybrid global optimisation algorithm based on locally filled functions and cluster analysis

International Journal of Computational Science and Engineering
A discrete filled function algorithm for approximate global solutions of max-cut problems

Journal of Computational and Applied Mathematics
A new filled function method for unconstrained global optimization

Journal of Computational and Applied Mathematics
A review of recent advances in global optimization

Journal of Global Optimization
Filled function method for nonlinear equations

Journal of Computational and Applied Mathematics
Global descent methods for unconstrained global optimization

Journal of Global Optimization
A new class of filled functions with one parameter for global optimization

Computers & Mathematics with Applications
Global Descent Method for Global Optimization

SIAM Journal on Optimization
A new class of filled functions for global minimization

CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part I
A new discrete filled function method for solving large scale max-cut problems

Numerical Algorithms

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper is concerned with filled function techniques for unconstrained global minimization of a continuous function of several variables. More general forms of filled functions are presented for smooth and non-smooth optimization problems. These functions have either one or two adjustable parameters. Conditions on functions and on the values of parameters are given so that the constructed functions have the desired properties of filled functions.