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A new, globally convergent Riemannian conjugate gradient method [PDF]

open access: yes, 2013
This article deals with the conjugate gradient method on a Riemannian manifold with interest in global convergence analysis. The existing conjugate gradient algorithms on a manifold endowed with a vector transport need the assumption that the vector ...
Iwai, Toshihiro, Sato, Hiroyuki
core   +2 more sources

New conjugacy condition with pair-conjugate gradient methods for unconstrained optimization [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2009
Conjugate gradient methods are wildly used for unconstrained optimization especially when the dimension is large. In this paper we propose a new kind of nonlinear conjugate gradient methods which on the study of Dai and Liao (2001), the new idea is how ...
Abbas Al-Bayati, Huda Ahmed
doaj   +1 more source

A new smoothing modified three-term conjugate gradient method for l1 $l_{1}$-norm minimization problem

open access: yesJournal of Inequalities and Applications, 2018
We consider a kind of nonsmooth optimization problems with l1 $l_{1}$-norm minimization, which has many applications in compressed sensing, signal reconstruction, and the related engineering problems.
Shouqiang Du, Miao Chen
doaj   +1 more source

Preconditioning complex symmetric linear systems [PDF]

open access: yes, 2014
A new polynomial preconditioner for symmetric complex linear systems based on Hermitian and skew-Hermitian splitting (HSS) for complex symmetric linear systems is herein presented. It applies to Conjugate Orthogonal Conjugate Gradient (COCG) or Conjugate
Bertolazzi, Enrico, Frego, Marco
core   +3 more sources

Two new spectral conjugate gradient algorithms based on Hestenes–Stiefel

open access: yesJournal of Algorithms & Computational Technology, 2017
The spectral conjugate gradient algorithm, which is a variant of conjugate gradient method, is one of the effective methods for solving unconstrained optimization problems.
Guofang Wang   +4 more
doaj   +1 more source

Hybrid Particle Swarm and Conjugate Gradient Optimization in Neural Network for Prediction of Suspended Particulate Matter [PDF]

open access: yesE3S Web of Conferences, 2019
The scope of this research is the use of artificial neural network models and meta-heuristic optimization of Particle Swarm Optimization (PSO) for the prediction of ambient air pollution parameter data at air quality monitoring stations in the city of ...
Warsito Budi   +3 more
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

A new hybrid conjugate gradient method for dynamic force reconstruction

open access: yesAdvances in Mechanical Engineering, 2019
A new hybrid conjugate gradient method is proposed in this article based on the gradient operator and applied to the structural dynamic load identification problem.
Linjun Wang   +4 more
doaj   +1 more source

A New Modified Conjugate Gradient for Nonlinear Minimization Problems

open access: yesScience Journal of University of Zakho, 2022
The conjugate gradient is a highly effective technique to solve the unconstrained nonlinear minimization problems and it is one of the most well-known methods. It has a lot of applications.
Hussein Ageel Khatab, Salah G. Sharef
doaj   +1 more source

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