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Parallel preconditioned conjugate gradient algorithm on GPU [PDF]
Journal of Computational and Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jonas Koko
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On the preconditioning of the primal form of TFOV-based image deblurring model [PDF]
Scientific Reports, 2023 To address the staircasing problem in deblurred images generated by a simple total variation (TV) based model, one approach is to use the total fractional-order variation (TFOV) image deblurring model.
Junseok Kim, Shahabz Ahmad
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Deflated preconditioned conjugate gradient method for solving single-step BLUP models efficiently [PDF]
Genetics Selection Evolution, 2018 Background The single-step single nucleotide polymorphism best linear unbiased prediction (ssSNPBLUP) method, such as single-step genomic BLUP (ssGBLUP), simultaneously analyses phenotypic, pedigree, and genomic information of genotyped and non-genotyped
Jérémie Vandenplas +3 more
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Least squares reverse time migration imaging with illumination preconditioned based on improved PRP conjugate gradients [PDF]
Scientific Reports, 2023 Least squares reverse time migration (LSRTM) imaging is the one of the most accurate methods for migration imaging at present, and Polak–Ribiere–Polyak conjugate gradient (PRPCG) for LSRTM has the good numerical performance but weak convergence, so we ...
Xiaodan Zhang +5 more
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Preconditioned conjugate gradient methods for absolute value equations
Journal of Numerical Analysis and Approximation Theory, 2020 We investigate the NP-hard absolute value equations (AVE), \(Ax-B|x| =b\), where \(A,B\) are given symmetric matrices in \(\mathbb{R}^{n\times n}, \ b\in \mathbb{R}^{n}\).
Nassima Anane, Mohamed Achache
doaj +7 more sources
A Combined Conjugate Gradient Quasi-Newton Method with Modification BFGS Formula
International 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
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Reproducibility strategies for parallel Preconditioned Conjugate Gradient [PDF]
Journal of Computational and Applied Mathematics, 2020 [EN] The Preconditioned Conjugate Gradient method is often used in numerical simulations. While being widely used, the solver is also known for its lack of accuracy while computing the residual. In this article, we aim at a twofold goal: enhance the accuracy of the solver but also ensure its reproducibility in a message-passing implementation.
Roman Iakymchuk +4 more
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Block Preconditioning for the Conjugate Gradient Method [PDF]
SIAM Journal on Scientific and Statistical Computing, 1985 Different block preconditionings for the conjugate gradient methods are investigated for solving positive definite block tridiagonal systems. These preconditionings are based on different sparse approximate matrix inverses. The proposed methods are compared with other well-known preconditionings as for example the point incomplete Cholesky ...
Concus, P., Golub, G.H., Meurant, G.
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An inexact Newton method with inner preconditioned CG for non-uniformly monotone elliptic problems
Mathematical Modelling and Analysis, 2021 The present paper introduces an inexact Newton method, coupled with a preconditioned conjugate gradient method in inner iterations, for elliptic operators with non-uniformly monotone upper and lower bounds.
Benjámin Borsos
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Mathematics, 2022 This paper is devoted to proposing a modified conjugate residual method for solving the generalized coupled Sylvester tensor equations. To further improve its convergence rate, we derive a preconditioned modified conjugate residual method based on the ...
Tao Li, Qing-Wen Wang, Xin-Fang Zhang
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