Global optimization method with numerically calculated function derivatives

DOI10.1007/978-3-030-65739-0_1OpenAlexW3125043563MaRDI QIDQ6130864

Victor P. Gergel, Alexander Sysoyev

Publication date: 3 April 2024

Published in: Communications in Computer and Information Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-65739-0_1

zbMATH Keywords

numerical experimentsLipschitz conditiondimensionality reductionmultidimensional optimizationglobal search algorithmsdiscontinuous functionsnumerical estimations of derivative values

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30)

Cites Work

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• Advances in stochastic and deterministic global optimization
• A deterministic global optimization using smooth diagonal auxiliary functions
• The cubic algorithm
• Global optimization of univariate Lipschitz functions. II: New algorithms and computational comparison
• Global one-dimensional optimization using smooth auxiliary functions
• Accelerations for a variety of global optimization methods
• A global optimization algorithm for multivariate functions with Lipschitzian first derivatives
• Global optimization in one-dimensional case using analytically defined derivatives of objective function
• On a method for computing the values of derivatives in the minimization of multi-extremal functions.
• Global optimization with non-convex constraints. Sequential and parallel algorithms
• A deterministic algorithm for global optimization
• Global optimization in action. Continuous and Lipschitz optimization: algorithms, implementations and applications
• One-dimensional nested maximin designs
• Stochastic global optimization.
• Simplicial Global Optimization
• Evaluating Derivatives
• Nested Partitions Method for Global Optimization
• An algorithm for finding the absolute extremum of a function
• Acceleration of Univariate Global Optimization Algorithms Working with Lipschitz Functions and Lipschitz First Derivatives
• A Sequential Method Seeking the Global Maximum of a Function

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