An extension of the Fletcher-Reeves method to linear equality constrained optimization problem

DOI10.1016/j.amc.2013.04.055zbMath1302.65156OpenAlexW2008961054MaRDI QIDQ482439

Can Li, Dong-hui Li

Publication date: 30 December 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.04.055

zbMATH Keywords

global convergencefeasible direction methodFletcher-Reeves methodlinear equality constrained optimization problem

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10)

Related Items (3)

A novel projected Fletcher‐Reeves conjugate gradient approach for finite‐time optimal robust controller of linear constraints optimization problem: Application to bipedal walking robots ⋮ Extension of modified Polak-Ribière-Polyak conjugate gradient method to linear equality constraints minimization problems ⋮ Implementation of reduced gradient with bisection algorithms for non-convex optimization problem via stochastic perturbation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A variant spectral-type FR conjugate gradient method and its global convergence
• Efficient generalized conjugate gradient algorithms. I: Theory
• Global convergence of a modified spectral FR conjugate gradient method
• Test examples for nonlinear programming codes
• Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
• Spectral gradient methods for linearly constrained optimization
• The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem
• Descent Property and Global Convergence of the Fletcher—Reeves Method with Inexact Line Search
• Linearly constrained minimax optimization
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• Function minimization by conjugate gradients
• The conjugate gradient method in extremal problems
• A computational comparison of some non-linear programs
• Methods of conjugate gradients for solving linear systems
• A spectral conjugate gradient method for unconstrained optimization

This page was built for publication: An extension of the Fletcher-Reeves method to linear equality constrained optimization problem