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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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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GPU-Based N-1 Static Security Analysis Algorithm With Preconditioned Conjugate Gradient Method [PDF]
IEEE Access, 2020 N-1 static security analysis (SSA) is an important method for power system stability analysis that requires solving N alternating-current power flows (ACPF) for a system with N elements to obtain strictly accurate results.
Meng Fu +5 more
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Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning [PDF]
SIAM Journal on Matrix Analysis and Applications, 2007 14 pages, 3 figures.
Andrew Knyazev, Ilya Lashuk
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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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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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Prior-Preconditioned Conjugate Gradient Method for Accelerated Gibbs Sampling in "Large n, Large p" Bayesian Sparse Regression. [PDF]
J Am Stat Assoc, 2023 Nishimura A, Suchard MA.
europepmc +3 more sources
Preconditioning the modified conjugate gradient method
Global Journal of Mathematical Sciences, 2010 In this paper, the convergence analysis of the conventional conjugate Gradient method was reviewed. And the convergence analysis of the modified conjugate Gradient method was analysed with our extension on preconditioning the algorithm. Convergence of the algorithm is a function of the condition number of M-1A.
D.E.A Omorogbe, AA Osagiede
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An efficient genomic prediction method without the direct inverse of the genomic relationship matrix [PDF]
Frontiers in Plant Science, 2022 GBLUP, the most widely used genomic prediction (GP) method, consumes large and increasing amounts of computational resources as the training population size increases due to the inverse of the genomic relationship matrix (GRM).
Hailan Liu, Chao Xia, Hai Lan
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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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