Nonmonotone line searches for unconstrained multiobjective optimization problems

DOI10.1007/s10898-019-00802-0zbMath1428.90155OpenAlexW2960169247MaRDI QIDQ2274871

Kanako Mita, Nobuo Yamashita, Ellen H. Fukuda

Publication date: 1 October 2019

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-019-00802-0

zbMATH Keywords

multiobjective optimizationPareto optimalityNewton methodnonmonotone line searchsteepest descent method

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (16)

A nonmonotone gradient method for constrained multiobjective optimization problems ⋮ A quasi-Newton method with Wolfe line searches for multiobjective optimization ⋮ An adaptive nonmonotone line search for multiobjective optimization problems ⋮ Augmented Lagrangian cone method for multiobjective optimization problems with an application to an optimal control problem ⋮ An accelerated proximal gradient method for multiobjective optimization ⋮ Spectral conjugate gradient methods for vector optimization problems ⋮ The generalized conditional gradient method for composite multiobjective optimization problems on Riemannian manifolds ⋮ On the extension of the Hager-Zhang conjugate gradient method for vector optimization ⋮ Conditional gradient method for vector optimization ⋮ A Barzilai-Borwein descent method for multiobjective optimization problems ⋮ Memory gradient method for multiobjective optimization ⋮ Conditional gradient method for multiobjective optimization ⋮ Convergence of a nonmonotone projected gradient method for nonconvex multiobjective optimization ⋮ Globally convergent Newton-type methods for multiobjective optimization ⋮ A superlinearly convergent nonmonotone quasi-Newton method for unconstrained multiobjective optimization ⋮ Linear convergence of a nonmonotone projected gradient method for multiobjective optimization

Uses Software

• L-BFGS
• NBI
• minpack

Cites Work

• Unnamed Item
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• Testing Unconstrained Optimization Software
• Updating Quasi-Newton Matrices with Limited Storage
• Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems
• A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
• A Nonmonotone Line Search Technique for Newton’s Method
• Benchmarking optimization software with performance profiles.

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