A trust region method for nonsmooth convex optimization

DOI10.3934/jimo.2005.1.171zbMath1177.90319OpenAlexW2332676973MaRDI QIDQ1780126

Nobuko Sagara, Masao Fukushima

Publication date: 7 June 2005

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2005.1.171

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30)

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A Trust-region Method for Nonsmooth Nonconvex Optimization ⋮ Forward-backward quasi-Newton methods for nonsmooth optimization problems ⋮ An ODE-like nonmonotone method for nonsmooth convex optimization ⋮ Multivariate spectral gradient algorithm for nonsmooth convex optimization problems ⋮ An efficient conjugate gradient method with strong convergence properties for non-smooth optimization ⋮ Conjugate gradient type methods for the nondifferentiable convex minimization ⋮ Some modified Hestenes-Stiefel conjugate gradient algorithms with application in image restoration ⋮ A modified conjugate gradient method for general convex functions ⋮ A modified scaled memoryless BFGS preconditioned conjugate gradient algorithm for nonsmooth convex optimization ⋮ A modified nonlinear conjugate gradient algorithm for large-scale nonsmooth convex optimization ⋮ An SOCP relaxation based branch-and-bound method for generalized trust-region subproblem ⋮ An effective adaptive trust region algorithm for nonsmooth minimization ⋮ A memory gradient method for non-smooth convex optimization ⋮ A modified Hestenes and Stiefel conjugate gradient algorithm for large-scale nonsmooth minimizations and nonlinear equations

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