Results 21 to 30 of about 230,316 (281)

A STEP-LENGTH FORMULA FOR CONJUGATE GRADIENT METHODS

open access: yesMalaysian Journal of Computing, 2020
A newly step-length formula is proposed for implementing conjugate gradient methods’ algorithm to solve unconstrained optimization problems. The unified formula for obtaining step-length does not involve any matrix operation.
Adam Ajimoti Ishaq, Tolulope Latunde, Kazeem Babatunde Akande
doaj   +1 more source

Two modified hybrid conjugate gradient methods based on a hybrid secant equation

open access: yesMathematical Modelling and Analysis, 2013
Taking advantage of the attractive features of Hestenes–Stiefel and Dai–Yuan conjugate gradient methods, we suggest two globally convergent hybridizations of these methods following Andrei's approach of hybridizing the conjugate gradient parameters ...
Saman Babaie-Kafaki, Nezam Mahdavi-Amiri
doaj   +1 more source

Two New Conjugate Gradient Methods for Unconstrained Optimization

open access: yesComplexity, 2020
The conjugate gradient method is very effective in solving large-scale unconstrained optimal problems. In this paper, on the basis of the conjugate parameter of the conjugate descent (CD) method and the second inequality in the strong Wolfe line search ...
Meixing Liu, Guodong Ma, Jianghua Yin
doaj   +1 more source

An efficient sparse conjugate gradient solver using a Beneš permutation network [PDF]

open access: yes, 2014
© 2014 Technical University of Munich (TUM).The conjugate gradient (CG) is one of the most widely used iterative methods for solving systems of linear equations.
Burovskiy, PA   +3 more
core   +1 more source

Simulation of wave propagation through aberrating layers of biological media [PDF]

open access: yes, 2004
Two iterative methods for the calculation of acoustic reflection and transmission at a rough interface between two media are compared. The methods are based on a continuous version of the conjugate gradient technique.
Berg, P.M. van den   +2 more
core   +3 more sources

Nonlinear Conjugate Gradient Methods with Wolfe Type Line Search

open access: yesAbstract and Applied Analysis, 2013
Nonlinear conjugate gradient method is one of the useful methods for unconstrained optimization problems. In this paper, we consider three kinds of nonlinear conjugate gradient methods with Wolfe type line search for unstrained optimization problems ...
Yuan-Yuan Chen, Shou-Qiang Du
doaj   +1 more source

A Penalized Linear and Nonlinear Combined Conjugate Gradient Method for the Reconstruction of Fluorescence Molecular Tomography

open access: yesInternational Journal of Biomedical Imaging, 2007
Conjugate gradient method is verified to be efficient for nonlinear optimization problems of large-dimension data. In this paper, a penalized linear and nonlinear combined conjugate gradient method for the reconstruction of fluorescence molecular ...
Shang Shang   +4 more
doaj   +1 more source

Sufficient descent three term conjugate gradient method via symmetric rank-one update for large-scale optimization [PDF]

open access: yes, 2016
In this paper, we propose a three-term conjugate gradient method via the symmetric rank-one update. The basic idea is to exploit the good properties of the SR1 update in providing quality Hessian approximations to construct a conjugate gradient line ...
Leong, Wah June, Moyi, Aliyu Usman
core   +1 more source

A Modified Dai–Liao Conjugate Gradient Method Based on a Scalar Matrix Approximation of Hessian and Its Application

open access: yesJournal of Mathematics, 2023
We introduce and investigate proper accelerations of the Dai–Liao (DL) conjugate gradient (CG) family of iterations for solving large-scale unconstrained optimization problems.
Branislav Ivanov   +5 more
doaj   +1 more source

A Novel Conjugate Gradient Algorithm as a Convex Combination of Classical Conjugate Gradient Methods

open access: yesKurdistan Journal of Applied Research
Conjugate gradient (CG) algorithms are constructive for handling large-scale nonlinear optimization problems. One optimization technique intended to address unconstrained optimization issues effectively is the hybrid conjugate gradient (HCG) algorithm ...
Sara Sahib Mohammed Zaki   +2 more
doaj   +1 more source

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