[PDF][PDF] A survey of nonlinear conjugate gradient methods

WW Hager, H Zhang - Pacific journal of Optimization, 2006 - people.clas.ufl.edu
A SURVEY OF NONLINEAR CONJUGATE GRADIENT METHODS ∗ 1. Introduction.
Conjugate gradient (CG) methods comprise a class of uncon- Page 1 A SURVEY OF …

A new conjugate gradient method with guaranteed descent and an efficient line search

WW Hager, H Zhang - SIAM Journal on optimization, 2005 - SIAM
A new nonlinear conjugate gradient method and an associated implementation, based on
an inexact line search, are proposed and analyzed. With exact line search, our method …

A survey on the Dai–Liao family of nonlinear conjugate gradient methods

S Babaie-Kafaki - RAIRO-Operations Research, 2023 - rairo-ro.org
At the beginning of this century, which is characterized by huge flows of emerging data, Dai
and Liao proposed a pervasive conjugacy condition that triggered the interest of many …

New conjugacy conditions and related nonlinear conjugate gradient methods

Y -H. Dai, L -Z. Liao - Applied Mathematics and optimization, 2001 - Springer
Conjugate gradient methods are a class of important methods for unconstrained
optimization, especially when the dimension is large. This paper proposes a new conjugacy …

[BOOK][B] Nonlinear conjugate gradient methods for unconstrained optimization

N Andrei - 2020 - Springer
This book is on conjugate gradient methods for unconstrained optimization. The concept of
conjugacy was introduced by Magnus Hestenes and Garrett Birkhoff in 1936 in the context of …

A nonlinear conjugate gradient algorithm with an optimal property and an improved Wolfe line search

YH Dai, CX Kou - SIAM Journal on Optimization, 2013 - SIAM
In this paper, we seek the conjugate gradient direction closest to the direction of the scaled
memoryless BFGS method and propose a family of conjugate gradient methods for …

Nonlinear conjugate gradient methods

YH Dai - Wiley Encyclopedia of Operations Research and …, 2010 - Wiley Online Library
Conjugate gradient methods are a class of important methods for solving linear equations
and for solving nonlinear optimization. In this article, a review on conjugate gradient …

A hybrid conjugate gradient based approach for solving unconstrained optimization and motion control problems

AB Abubakar, P Kumam, M Malik, AH Ibrahim - … and Computers in …, 2022 - Elsevier
In this article, we propose a hybrid conjugate gradient (CG) scheme for solving
unconstrained optimization problem. The search direction is a combination of the Polak …

A spectral RMIL+ conjugate gradient method for unconstrained optimization with applications in portfolio selection and motion control

AM Awwal, IM Sulaiman, M Malik, M Mamat… - IEEE …, 2021 - ieeexplore.ieee.org
The Spectral conjugate gradient (SCG) methods are among the efficient variants of CG
algorithms which are obtained by combining the spectral gradient parameter and CG …

Nonlinear conjugate gradient methods for vector optimization

LR Lucambio Pérez, LF Prudente - SIAM Journal on Optimization, 2018 - SIAM
In this work, we propose nonlinear conjugate gradient methods for finding critical points of
vector-valued functions with respect to the partial order induced by a closed, convex, and …