[KIRJA][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 …

[PDF][PDF] Open problems in nonlinear conjugate gradient algorithms for unconstrained optimization.

N Andrei - Bulletin of the Malaysian Mathematical Sciences …, 2011 - eudml.org
Abstract period.. The paper presents some open problems associated to the nonlin hyphen
ear conjugate gradient algorithms for unconstrained optimization period Mainly comma …

A family of spectral conjugate gradient methods with strong convergence and its applications in image restoration and machine learning

X Jiang, L Pan, M Liu, J Jian - Journal of the Franklin Institute, 2024 - Elsevier
In this paper, we propose a family of spectral conjugate gradient methods for solving
unconstrained optimization problems. Specifically, we provide two classes of bounded …

Another improved Wei–Yao–Liu nonlinear conjugate gradient method with sufficient descent property

Z Dai, F Wen - Applied Mathematics and Computation, 2012 - Elsevier
Recently, Zhang [13] take a little modification to the Wei–Yao–Liu nonlinear conjugate
gradient method proposed by Wei et al.[10] such that the modified method (called NPRP …

Proposed CG method to solve unconstrained optimization problems

HA Wasi, MAK Shiker - Journal of Physics: Conference Series, 2021 - iopscience.iop.org
Abstract The Conjugate Gradient (CG) method of unconstrained optimization algorithms
possesses good properties like less requirement memory and global convergence …

A family of hybrid conjugate gradient method with restart procedure for unconstrained optimizations and image restorations

X Jiang, X Ye, Z Huang, M Liu - Computers & Operations Research, 2023 - Elsevier
Conjugate gradient method is one of the most effective methods for solving large-scale
optimization problems. Based on the CD conjugate parameter and an improved PRP …

[HTML][HTML] A spectral conjugate gradient method for solving large-scale unconstrained optimization

JK Liu, YM Feng, LM Zou - Computers & Mathematics with Applications, 2019 - Elsevier
This paper establishes a spectral conjugate gradient method for solving unconstrained
optimization problems, where the conjugate parameter and the spectral parameter satisfy a …

An efficient Dai-Yuan projection-based method with application in signal recovery

J Sabi'u, A Balili, H Emadifar - Plos one, 2024 - journals.plos.org
The Dai and Yuan conjugate gradient (CG) method is one of the classical CG algorithms
using the numerator‖ gk+ 1‖ 2. When the usual Wolfe line search is used, the algorithm is …

[PDF][PDF] A numerical study on efficiency and robustness of some conjugate gradient algorithms for large-scale unconstrained optimization

N Andrei - Stud. Inform. Control, 2013 - sic.ici.ro
A numerical evaluation and comparisons using performance profiles of some representative
conjugate gradient algorithms for solving a large variety of large-scale unconstrained …

A new spectral conjugate gradient method for large-scale unconstrained optimization

J Jian, Q Chen, X Jiang, Y Zeng… - Optimization Methods and …, 2017 - Taylor & Francis
The spectral conjugate gradient methods, with simple construction and nice numerical
performance, are a kind of effective methods for solving large-scale unconstrained …