Linear Algebraic Calculation of Green's function for Large-Scale Electronic Structure Theory
, 2006 A linear algebraic method named the shifted conjugate-orthogonal-conjugate-gradient method is introduced for large-scale electronic structure calculation.
H. A. van der Vorst +9 more
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Computation of Ground States of the Gross-Pitaevskii Functional via Riemannian Optimization
, 2017 In this paper we combine concepts from Riemannian Optimization and the theory of Sobolev gradients to derive a new conjugate gradient method for direct minimization of the Gross-Pitaevskii energy functional with rotation.
Danaila, Ionut, Protas, Bartosz
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Notes on a 3-term Conjugacy Recurrence for the Iterative Solution of Symmetric Linear Systems [PDF]
We consider a 3-term recurrence, namely CG_2step, for the iterative solution of symmetric linear systems. The new algorithm generates conjugate directions and extends some standard theoretical properties of the Conjugate Gradient (CG) method [10].
Giovanni Fasano
core
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
, 2019 Pipelined Krylov subspace methods (also referred to as communication-hiding methods) have been proposed in the literature as a scalable alternative to classic Krylov subspace algorithms for iteratively computing the solution to a large linear system in ...
Cools, Siegfried +2 more
core
A New Hybrid Conjugate Gradient Method with Guaranteed Descent for Unconstraint Optimization
Al-Mustansiriyah Journal of Science, 2018 The conjugate gradient method an efficient technique for solving the unconstrained optimization problem. In this paper, we propose a new hybrid nonlinear conjugate gradient methods, which have the descent at every iteration and globally convergence ...
Basim A. Hassan
doaj +1 more source
The global convergence of spectral RMIL conjugate gradient method for unconstrained optimization with applications to robotic model and image recovery. [PDF]
PLoS One, 2023 Salihu N +4 more
europepmc +1 more source
Estimation of undistorted images in brain echo-planar images with distortions using the conjugate gradient method with anatomical regularization. [PDF]
Med Phys, 2022 Kumazawa S, Yoshiura T.
europepmc +1 more source
Fast Methods for Solving High Accuracy Surface Modeling
Journal of Algorithms & Computational Technology, 2013 High accuracy surface modeling (HASM) is a novel surface modeling method. The well known preconditioned conjugate gradient (PCG) method is used to solve the equations produced by HASM.
Na Zhao, Tian Xiang Yue
doaj +1 more source
A HS-PRP-Type Hybrid Conjugate Gradient Method with Sufficient Descent Property. [PDF]
Comput Intell Neurosci, 2021 Wu X, Zhu Y, Yin J.
europepmc +1 more source