Results 41 to 50 of about 654,439 (198)
The Limited Memory Conjugate Gradient Method [PDF]
SIAM Journal on Optimization, 2013 In theory, the successive gradients generated by the conjugate gradient method applied to a quadratic should be orthogonal. However, for some ill-conditioned problems, orthogonality is quickly lost due to rounding errors, and convergence is much slower than expected. A limited memory version of the nonlinear conjugate gradient method is developed.
William W. Hager, Hongchao Zhang
openaire +1 more source
A new conjugate gradient method based on Quasi-Newton equation for unconstrained optimization
Journal of Computational and Applied Mathematics, 2019 The spectral conjugate gradient method is an effective method for large-scale unconstrained optimization problems. In this paper, based on Quasi-Newton direction and Quasi-Newton equation, a new spectral conjugate gradient method is proposed. This method
Xiangli Li +3 more
semanticscholar +1 more source
Enhancing Conjugate Gradient Method Through a Novel Investigation Parameter For Unconstrained Minimization [PDF]
مجلة التربية والعلمConjugate gradient algorithms come in a wide range of flavors. The conjugate gradient technique primarily concentrates on the spectral parameter. It follows the standard method proposed by Hastens and Stiefel, In this study, we have devised an innovative
Abd Hassan, Hamsa Saeed
doaj +1 more source
Algorithms, 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 +1 more source
A Mixed Spectral CD-DY Conjugate Gradient Method
Journal of Applied Mathematics, 2012 A mixed spectral CD-DY conjugate descent method for solving unconstrained optimization problems is proposed, which combines the advantages of the spectral conjugate gradient method, the CD method, and the DY method.
Liu Jinkui, Du Xianglin, Wang Kairong
doaj +1 more source
Symmetric Perry conjugate gradient method [PDF]
Computational Optimization and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dongyi Liu, Genqi Xu
openaire +1 more source
Nonlinear Conjugate Gradient Methods with Wolfe Type Line Search
Abstract 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
Nonlinear conjugate gradient methods in micromagnetics
AIP Advances, 2017 Conjugate gradient methods for energy minimization in micromagnetics are compared. The comparison of analytic results with numerical simulation shows that standard conjugate gradient method may fail to produce correct results. A method that restricts the
J. Fischbacher +11 more
doaj +1 more source
An Accelerated Riemannian Conjugate Gradient Method Based on the Barzilai–Borwein Technique
MathematicsThis paper proposes an accelerated Riemannian conjugate gradient method based on the Barzilai-Borwein (BB) technique, termed ABBSRCG, for unconstrained optimization on Riemannian manifolds. Building upon classical Riemannian conjugate gradient frameworks,
Ziyin Ma, Tao Yan, Shimin Zhao
doaj +1 more source
The conjugate gradient method [PDF]
The Leading Edge, 2018 The conjugate gradient method can be used to solve many large linear geophysical problems — for example, least-squares parabolic and hyperbolic Radon transform, traveltime tomography, least-squares migration, and full-waveform inversion (FWI) (e.g., Witte et al., 2018).
openaire +1 more source