A frame-based conjugate gradients direct search method with radial basis function interpolation model

DOI10.1155/2017/4082432zbMath1368.90130OpenAlexW2571950553WikidataQ59143153 ScholiaQ59143153MaRDI QIDQ2398571

Xiaowei Fang, Qin Ni

Publication date: 16 August 2017

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/4082432

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Derivative-free methods and methods using generalized derivatives (90C56) Numerical optimization and variational techniques (65K10)

Related Items (1)

Optimal homotopy asymptotic method-least square for solving nonlinear fractional-order gradient-based dynamic system from an optimization problem

Uses Software

• CUTEr
• SifDec
• DFO
• minpack
• ORBIT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Incorporating minimum Frobenius norm models in direct search
• Recent progress in unconstrained nonlinear optimization without derivatives
• Least Frobenius norm updating of quadratic models that satisfy interpolation conditions
• A class of derivative-free nonmonotone optimization algorithms employing coordinate rotations and gradient approximations
• Optimal aeroacoustic shape design using the surrogate management framework
• On the Convergence of Grid-Based Methods for Unconstrained Optimization
• Global Convergence of Radial Basis Function Trust-Region Algorithms for Derivative-Free Optimization
• Self-Correcting Geometry in Model-Based Algorithms for Derivative-Free Unconstrained Optimization
• On the Convergence of Pattern Search Algorithms
• Introduction to Derivative-Free Optimization
• ORBIT: Optimization by Radial Basis Function Interpolation in Trust-Regions
• `` Direct Search Solution of Numerical and Statistical Problems
• Testing Unconstrained Optimization Software
• On the Convergence of the Multidirectional Search Algorithm
• Radial Basis Functions
• Analysis of Generalized Pattern Searches
• Use of quadratic models with mesh-adaptive direct search for constrained black box optimization
• Function Minimization by Interpolation in a Data Table
• Benchmarking Derivative-Free Optimization Algorithms
• Global Convergence of General Derivative-Free Trust-Region Algorithms to First- and Second-Order Critical Points
• CUTEr and SifDec
• Nonlinear Programming
• The conjugate gradient method in extremal problems
• Frame based methods for unconstrained optimization
• Benchmarking optimization software with performance profiles.

This page was built for publication: A frame-based conjugate gradients direct search method with radial basis function interpolation model