Global convergence of a BFGS-type algorithm for nonconvex multiobjective optimization problems

Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Newton-type methods (49M15) Methods of quasi-Newton type (90C53)

Cites Work

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Quasi-Newton methods for solving multiobjective optimization
Convergence of the projected gradient method for quasiconvex multiobjective optimization
Hybrid approximate proximal method with auxiliary variational inequality for vector optimization
Nonlinear multiobjective optimization
Steepest descent methods for multicriteria optimization.
The BFGS method with exact line searches fails for non-convex objective functions
Quasi-Newton methods for multiobjective optimization problems
A steepest descent method for vector optimization
A projected gradient method for vector optimization problems
A perfect example for the BFGS method
Conditional gradient method for multiobjective optimization
Globally convergent Newton-type methods for multiobjective optimization
A study of Liu-Storey conjugate gradient methods for vector optimization
A quasi-Newton method with Wolfe line searches for multiobjective optimization
On the extension of the Hager-Zhang conjugate gradient method for vector optimization
Quasi-Newton's method for multiobjective optimization
Nonsmooth multiobjective programming with quasi-Newton methods
Convergence analysis of a nonmonotone projected gradient method for multiobjective optimization problems
Approximate proximal methods in vector optimization
Inexact projected gradient method for vector optimization
Newton-like methods for efficient solutions in vector optimization
The multiobjective steepest descent direction is not Lipschitz continuous, but is Hölder continuous
A limited memory quasi-Newton approach for multi-objective optimization
On the global convergence of the BFGS method for nonconvex unconstrained optimization problems
Direct Multisearch for Multiobjective Optimization
On the convergence of the projected gradient method for vector optimization
Generalized Proximal Method for Efficient Solutions in Vector Optimization
A modified Quasi-Newton method for vector optimization problem
Adaptive Scalarization Methods in Multiobjective Optimization
Newton's Method for Multiobjective Optimization
A Tool for the Analysis of Quasi-Newton Methods with Application to Unconstrained Minimization
Nonlinear Conjugate Gradient Methods for Vector Optimization
A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
Convergence Properties of the BFGS Algoritm
A Wolfe Line Search Algorithm for Vector Optimization
A quadratically convergent Newton method for vector optimization
Extended Newton Methods for Multiobjective Optimization: Majorizing Function Technique and Convergence Analysis
Proximal Methods in Vector Optimization
Practical Augmented Lagrangian Methods for Constrained Optimization
A Family of Variable-Metric Methods Derived by Variational Means
A new approach to variable metric algorithms
The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations
Conditioning of Quasi-Newton Methods for Function Minimization
A superlinearly convergent nonmonotone quasi-Newton method for unconstrained multiobjective optimization
A modified BFGS method and its global convergence in nonconvex minimization
Benchmarking optimization software with performance profiles.
Conditional gradient method for vector optimization

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