A New Spectral Conjugate Gradient Method with Strong Wolfe-Powell Line Search

Dawahdeh, Mahmoud

doi:10.30534/ijeter/2020/25822020

Cited by 3 publications

(2 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hager 2,4,6,10,100 (3,3),(7,7), (9,9), (11,11 ) 15 Ex White & Holst 100,1000,10000 (5,5), (10,10), (20,20), (50,50) 6…”

Section: Applicationmentioning

confidence: 99%

“…From computational point of view, the PRP formula possess better numerical results compare to the FR method and [6] proved that PRP method would converge globally when ( ) is strongly convex and the line search condition used is exact. However, the convergence of the PRP method is yet to be established under SWP condition [10]. In fact, Powell [11], [12] gave some counter examples to show that even with the exact minimization condition, there exist some functions, for which PRP method fails to converge.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A new hybrid conjugate gradient algorithm for optimization models and its application to regression analysis

Sulaiman

Bakar²,

Mamat³

et al. 2021

IJEECS

View full text Add to dashboard Cite

The hybrid conjugate gradient (CG) method is among the efficient variants of CG method for solving optimization problems. This is due to their low memory requirements and nice convergence properties. In this paper, we present an efficient hybrid CG method for solving unconstrained optimization models and show that the method satisfies the sufficient descent condition. The global convergence prove of the proposed method would be established under inexact line search. Application of the proposed method to the famous statistical regression model describing the global outbreak of the novel COVID-19 is presented. The study parameterized the model using the weekly increase/decrease of recorded cases from December 30, 2019 to March 30, 2020. Preliminary numerical results on some unconstrained optimization problems show that the proposed method is efficient and promising. Furthermore, the proposed method produced a good regression equation for COVID-19 confirmed cases globally.

show abstract

“…Hager 2,4,6,10,100 (3,3),(7,7), (9,9), (11,11 ) 15 Ex White & Holst 100,1000,10000 (5,5), (10,10), (20,20), (50,50) 6…”

Section: Applicationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A new hybrid conjugate gradient algorithm for optimization models and its application to regression analysis

Sulaiman

Bakar²,

Mamat³

et al. 2021

IJEECS

View full text Add to dashboard Cite

show abstract

The Application of Conjugate Gradient Method to Motion Control of Robotic Manipulators

Sulaiman

Malik

Giyarti

et al. 2022

Lecture Notes in Electrical Engineering

View full text Add to dashboard Cite

Global Convergence Condition for a New Spectral Conjugate Gradient Method for Large-Scale Optimization

Sheekoo

Al-Naemi

2021

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

The spectral conjugate gradient (SCG) method is an effective method to solve large-scale nonlinear unconstrained optimization problems. In this work, a new spectral conjugate gradient method is proposed with a strong Wolfe-Powell line search (SWP). The idea of the new one is using the βBZA formula which is proposed by Baluch and et al., with suitable parameter φ denoted by (SCGBZA). Under the usual assumptions, the descent properties and overall global convergence of the proposed method (SCGBZA) are proved. The proposed method is numerically proven to be effective.

show abstract

A New Spectral Conjugate Gradient Method with Strong Wolfe-Powell Line Search

Cited by 3 publications

References 29 publications

A new hybrid conjugate gradient algorithm for optimization models and its application to regression analysis

A new hybrid conjugate gradient algorithm for optimization models and its application to regression analysis

The Application of Conjugate Gradient Method to Motion Control of Robotic Manipulators

Global Convergence Condition for a New Spectral Conjugate Gradient Method for Large-Scale Optimization

Contact Info

Product

Resources

About