On the convergence of the projected gradient method for vector optimization

From MaRDI portal
Publication:3112500

DOI10.1080/02331934.2010.522710zbMath1231.90331OpenAlexW2067252707MaRDI QIDQ3112500

L. M. Graña Drummond, Ellen H. Fukuda

Publication date: 10 January 2012

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2010.522710




Related Items (34)

Multiobjective approximate gradient projection method for constrained vector optimization: sequential optimality conditions without constraint qualificationsOn high-order model regularization for multiobjective optimizationCharnes-Cooper scalarization and convex vector optimizationAn external penalty-type method for multicriteriaOn inexact projected gradient methods for solving variable vector optimization problemsA steepest descent-like method for vector optimization problems with variable domination structureA study of Liu-Storey conjugate gradient methods for vector optimizationInexact projected gradient method for vector optimizationA penalty decomposition approach for multi-objective cardinality-constrained optimization problemsA quasi-Newton method with Wolfe line searches for multiobjective optimizationConvergence analysis of a projected gradient method for multiobjective optimization problemsAn inexact steepest descent method for multicriteria optimization on Riemannian manifoldsThe multiobjective steepest descent direction is not Lipschitz continuous, but is Hölder continuousOn the extension of the Hager-Zhang conjugate gradient method for vector optimizationConvergence of inexact steepest descent algorithm for multiobjective optimizations on Riemannian manifolds without curvature constraintsNonmonotone gradient methods for vector optimization with a portfolio optimization applicationMultiobjective BFGS method for optimization on Riemannian manifoldsMultiobjective conjugate gradient methods on Riemannian manifoldsA memetic procedure for global multi-objective optimizationMONOTONICITY FOR MULTIOBJECTIVE ACCELERATED PROXIMAL GRADIENT METHODSA steepest descent-like method for variable order vector optimization problemsThe Proximal Point Method for Locally Lipschitz Functions in Multiobjective Optimization with Application to the Compromise ProblemA barrier-type method for multiobjective optimizationA quadratically convergent Newton method for vector optimizationConditional gradient method for multiobjective optimizationNonlinear Conjugate Gradient Methods for Vector OptimizationA proximal point-type method for multicriteria optimizationA projected subgradient method for nondifferentiable quasiconvex multiobjective optimization problemsA proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problemsIteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifoldsAn augmented Lagrangian algorithm for multi-objective optimizationConvergence analysis of a nonmonotone projected gradient method for multiobjective optimization problemsNewton-like methods for solving vector optimization problemsLinear convergence of a nonmonotone projected gradient method for multiobjective optimization


Uses Software


Cites Work


This page was built for publication: On the convergence of the projected gradient method for vector optimization