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A Modified Liu and Storey Conjugate Gradient Method for Large Scale Unconstrained Optimization Problems [PDF]

open access: goldAlgorithms, 2021
The conjugate gradient method is one of the most popular methods to solve large-scale unconstrained optimization problems since it does not require the second derivative, such as Newton’s method or approximations.
Zabidin Salleh   +3 more
doaj   +2 more sources

The new spectral conjugate gradient method for large-scale unconstrained optimisation [PDF]

open access: goldJournal of Inequalities and Applications, 2020
The spectral conjugate gradient methods are very interesting and have been proved to be effective for strictly convex quadratic minimisation. In this paper, a new spectral conjugate gradient method is proposed to solve large-scale unconstrained ...
Li Wang   +3 more
doaj   +2 more sources

A scaled three-term conjugate gradient method for unconstrained optimization [PDF]

open access: goldJournal of Inequalities and Applications, 2016
Conjugate gradient methods play an important role in many fields of application due to their simplicity, low memory requirements, and global convergence properties.
Ibrahim Arzuka   +2 more
doaj   +2 more sources

New modification of the hestenes-stiefel with strong wolfe line search [PDF]

open access: yes, 2021
. The method of the nonlinear conjugate gradient is widely used in solving large-scale unconstrained optimization since been proven in solving optimization problems without using large memory storage.
Basri, Srimazzura   +2 more
core   +1 more source

A Combined Conjugate Gradient Quasi-Newton Method with Modification BFGS Formula

open access: yesInternational Journal of Analysis and Applications, 2023
The conjugate gradient and Quasi-Newton methods have advantages and drawbacks, as although quasi-Newton algorithm has more rapid convergence than conjugate gradient, they require more storage compared to conjugate gradient algorithms.
Mardeen Sh. Taher, Salah G. Shareef
doaj   +1 more source

A New Parameterized Conjugate Gradient Method based on Generalized Perry Conjugate Gradient Method

open access: yesTikrit Journal of Pure Science, 2023
A New Parameterized Conjugate Gradient Method based on Generalized Perry Conjugate Gradient Method is proposed to be based on Perry's idea, the descent condition and the global convergent is proven under Wolfe condition.
Khalil K. Abbo, Nazar K. Hussein
doaj   +1 more source

Parallel conjugate gradient method

open access: yesLietuvos Matematikos Rinkinys, 2003
We investigate a parallel version of the preconditioned conjugate gradientmethod. A scalability analysis is done for a finite difference schemewhich approximates the 3D elliptic problem.
Raimondas Čiegis, Galina Šilko
doaj   +3 more sources

On New Conjugate Pair Method [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2009
This paper involves the combination between the conjugate pair and hybrid conjugate gradient methods. The new combined algorithm is based on exact line search and it is examined by using different nonlinear test functions in various dimensions ...
Abbas Al-Bayati   +2 more
doaj   +1 more source

Comparison Between Steepest Descent Method and Conjugate Gradient Method by Using Matlab

open access: yesJournal of Studies in Science and Engineering, 2021
The Steepest descent method and the Conjugate gradient method to minimize nonlinear functions have been studied in this work. Algorithms are presented and implemented in Matlab software for both methods.
Dana Taha Mohammed Salih   +1 more
doaj   +1 more source

A New Paired Spectral Gradient Method to Improve Unconstrained and Non-Linear Optimization [PDF]

open access: yesKirkuk Journal of Science, 2023
The conjugated spectral gradient (SCG) method is an effective method for non-constrained large-scale nonlinear optimization. In this work, a new spectral conjugate gradient method is proposed with a strong Wolfe-Powell line search (SWP). The new proposal
Siham Aziz, Zeyad Abdullah
doaj   +1 more source

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