A recursive Formula-trust-region method for bound-constrained nonlinear optimization

DOI10.1093/imanum/drn034zbMath1156.65060OpenAlexW2125174939MaRDI QIDQ3543423

Mélodie Mouffe, Serge Gratton, M. Weber Mendonça, Phillipe L. Toint

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/drn034

zbMATH Keywords

convergencenumerical examplesbound constraintslarge scale optimizationtrust-region methodsrecursive methodsmultilevel problemsinfinite dimensional problemsnonlinear nonconvex optimization

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Large-scale problems in mathematical programming (90C06) Nonlinear programming (90C30) Interior-point methods (90C51)

Related Items (16)

First-order geometric multilevel optimization for discrete tomography ⋮ A Phase-Field Approach to Pneumatic Fracture ⋮ Coordinate search algorithms in multilevel optimization ⋮ A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture ⋮ The boosted DC algorithm for linearly constrained DC programming ⋮ A detailed investigation of the model influencing parameters of the phase‐field fracture approach ⋮ Globally Convergent Multilevel Training of Deep Residual Networks ⋮ Using approximate secant equations in limited memory methods for multilevel unconstrained optimization ⋮ Newton-type methods for non-convex optimization under inexact Hessian information ⋮ A Multilevel Proximal Gradient Algorithm for a Class of Composite Optimization Problems ⋮ Approximating Hessians in unconstrained optimization arising from discretized problems ⋮ Adaptive cubic regularisation methods for unconstrained optimization. II: Worst-case function- and derivative-evaluation complexity ⋮ Properties of a class of multilevel optimization algorithms for equality-constrained problems ⋮ Worst case complexity of direct search ⋮ A first-order multigrid method for bound-constrained convex optimization ⋮ A trust region method based on a new affine scaling technique for simple bounded optimization

This page was built for publication: A recursive Formula-trust-region method for bound-constrained nonlinear optimization