An optimal interpolation set for model-based derivative-free optimization methods

DOI10.1080/10556788.2024.2330635MaRDI QIDQ6641010

Unnamed Author, Zaikun Zhang

Publication date: 20 November 2024

Published in: Optimization Methods \& Software (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Derivative-free methods and methods using generalized derivatives (90C56) Approximation by polynomials (41A10)

Cites Work

• Unnamed Item
• Unnamed Item
• On the optimal order of worst case complexity of direct search
• Sobolev seminorm of quadratic functions with applications to derivative-free optimization
• Computation of sparse low degree interpolating polynomials and their application to derivative-free optimization
• UOBYQA: unconstrained optimization by quadratic approximation
• Least Frobenius norm updating of quadratic models that satisfy interpolation conditions
• Beyond symmetric Broyden for updating quadratic models in minimization without derivatives
• Recent advances in trust region algorithms
• Derivative-free optimization: a review of algorithms and comparison of software implementations
• A trust-region derivative-free algorithm for constrained optimization
• Introduction to Derivative-Free Optimization
• Least Change Secant Updates for Quasi-Newton Methods
• A View of Unconstrained Minimization Algorithms that Do Not Require Derivatives
• Trust Region Methods
• Derivative-Free and Blackbox Optimization
• Derivative-free optimization methods
• Derivative-free optimization of a rapid-cycling synchrotron

This page was built for publication: An optimal interpolation set for model-based derivative-free optimization methods