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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Computational strategies for the preconditioned conjugate gradient method applied to ssSNPBLUP, with an application to a multivariate maternal model [PDF]
Genetics Selection Evolution, 2020 Background The single-step single nucleotide polymorphism best linear unbiased prediction (ssSNPBLUP) is one of the single-step evaluations that enable a simultaneous analysis of phenotypic and pedigree information of genotyped and non-genotyped animals ...
Jeremie 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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High-efficiency computation for electromagnetic forming process: An explicit-implicit GPU approach [PDF]
iScienceSummary: Low computational efficiency is one of the crucial challenges in electromagnetic forming process simulation. However, the huge gap in switching from the electromagnetic field to mechanics hinders the development of high-efficiency parallel ...
Yongjie Pei +6 more
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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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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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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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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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A PCG ALGORITHM FOR NON-LINEAR OPTIMIZATION BASED ON A QUADRATIC MODEL [PDF]
مجلة التربية والعلم, 2006 In this paper a new preconditioned Extended Conjugate Gradient with self-scaling Variable Metric method is proposed for unconstrained optimization. This method is based on the inexact line searches and it is examined by using different nonlinear test ...
Abbas. AI-Bayati +1 more
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