DOI10.1093/imanum/drn046zbMath1157.65034OpenAlexW2044778841WikidataQ58040585 ScholiaQ58040585MaRDI QIDQ3543418
Katya Scheinberg, Andrew R. Conn, Luis Nunes Vicente
Publication date: 2 December 2008
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imanum/drn046
A derivative-free affine scaling trust region methods based on probabilistic models with new nonmonotone line search technique for linear inequality constrained minimization without strict complementarity,
Gradient and diagonal Hessian approximations using quadratic interpolation models and aligned regular bases,
Minimal numerical differentiation formulas,
A discussion on variational analysis in derivative-free optimization,
A theoretical and empirical comparison of gradient approximations in derivative-free optimization,
A trust-region derivative-free algorithm for constrained optimization,
Exploiting Problem Structure in Derivative Free Optimization,
ASTRO-DF: A Class of Adaptive Sampling Trust-Region Algorithms for Derivative-Free Stochastic Optimization,
A subclass of generating set search with convergence to second-order stationary points,
An adaptive direct multisearch method for black-box multi-objective optimization,
Compositions of convex functions and fully linear models,
On the construction of quadratic models for derivative-free trust-region algorithms,
Hermite least squares optimization: a modification of BOBYQA for optimization with limited derivative information,
A derivative-free optimization algorithm combining line-search and trust-region techniques,
Density function-based trust region algorithm for approximating Pareto front of black-box multiobjective optimization problems,
On the local convergence of a derivative-free algorithm for least-squares minimization,
Limiting behavior of derivative approximation techniques as the number of points tends to infinity on a fixed interval in \(\mathbb{R}\),
Derivative-Free Optimization of Noisy Functions via Quasi-Newton Methods,
Derivative-free optimization via proximal point methods,
An Initialization Strategy for High-Dimensional Surrogate-Based Expensive Black-Box Optimization,
Generating set search using simplex gradients for bound-constrained black-box optimization,
A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds,
Improving the Flexibility and Robustness of Model-based Derivative-free Optimization Solvers,
Derivative-free optimization methods,
A Derivative-Free Method for Structured Optimization Problems,
Approximating the diagonal of a Hessian: which sample set of points should be used,
Calculus Identities for Generalized Simplex Gradients: Rules and Applications,
Recent advances in trust region algorithms,
A derivative-free exact penalty algorithm: basic ideas, convergence theory and computational studies,
The calculus of simplex gradients
