Computers and Operations Research
MPI: The Complete Reference
Pattern Search Algorithms for Mixed Variable Programming
SIAM Journal on Optimization
On the Convergence of Pattern Search Algorithms
SIAM Journal on Optimization
Superlinear Convergence and Implicit Filtering
SIAM Journal on Optimization
Analysis of Generalized Pattern Searches
SIAM Journal on Optimization
CUTEr and SifDec: A constrained and unconstrained testing environment, revisited
ACM Transactions on Mathematical Software (TOMS)
A Pattern Search Filter Method for Nonlinear Programming without Derivatives
SIAM Journal on Optimization
Mesh Adaptive Direct Search Algorithms for Constrained Optimization
SIAM Journal on Optimization
Derivative-Free Filter Simulated Annealing Method for Constrained Continuous Global Optimization
Journal of Global Optimization
Algorithm 856: APPSPACK 4.0: asynchronous parallel pattern search for derivative-free optimization
ACM Transactions on Mathematical Software (TOMS)
Convergence of Mesh Adaptive Direct Search to Second-Order Stationary Points
SIAM Journal on Optimization
Using Sampling and Simplex Derivatives in Pattern Search Methods
SIAM Journal on Optimization
Erratum: Mesh Adaptive Direct Search Algorithms for Constrained Optimization
SIAM Journal on Optimization
Nonsmooth optimization through Mesh Adaptive Direct Search and Variable Neighborhood Search
Journal of Global Optimization
Multiobjective Optimization Through a Series of Single-Objective Formulations
SIAM Journal on Optimization
Introduction to Derivative-Free Optimization
Introduction to Derivative-Free Optimization
Parallel Space Decomposition of the Mesh Adaptive Direct Search Algorithm
SIAM Journal on Optimization
A Progressive Barrier for Derivative-Free Nonlinear Programming
SIAM Journal on Optimization
OrthoMADS: A Deterministic MADS Instance with Orthogonal Directions
SIAM Journal on Optimization
Derivative-free methods for bound constrained mixed-integer optimization
Computational Optimization and Applications
Semiconductor device design using the BiMADS algorithm
Journal of Computational Physics
QoS-aware optimization of sensor network queries
The VLDB Journal — The International Journal on Very Large Data Bases
A derivative-free approximate gradient sampling algorithm for finite minimax problems
Computational Optimization and Applications
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NOMAD is software that implements the Mesh Adaptive Direct Search (MADS) algorithm for blackbox optimization under general nonlinear constraints. Blackbox optimization is about optimizing functions that are usually given as costly programs with no derivative information and no function values returned for a significant number of calls attempted. NOMAD is designed for such problems and aims for the best possible solution with a small number of evaluations. The objective of this article is to describe the underlying algorithm, the software’s functionalities, and its implementation.