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On the Lagrange functions of quadratic models that are defined by interpolation*

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Publication:2774609
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DOI10.1080/10556780108805839zbMath1027.90091OpenAlexW2022250875MaRDI QIDQ2774609

M. J. D. Powell

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1080/10556780108805839


zbMATH Keywords

unconstrained minimizationquadratic interpolationLagrange functions


Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)


Related Items (7)

On the convergence of the UOBYQA method ⋮ A derivative-free algorithm for non-linear optimization with linear equality constraints ⋮ Ensemble-Based Gradient Inference for Particle Methods in Optimization and Sampling ⋮ Black-Box Optimization: Methods and Applications ⋮ Geometry of interpolation sets in derivative free optimization ⋮ Derivative-free optimization methods ⋮ A wedge trust region method with self-correcting geometry for derivative-free optimization


Uses Software

  • DFO






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