Results 31 to 40 of about 781,590 (289)
Condition number estimation of preconditioned matrices. [PDF]
PLoS ONE, 2015 The present paper introduces a condition number estimation method for preconditioned matrices. The newly developed method provides reasonable results, while the conventional method which is based on the Lanczos connection gives meaningless results.
Noriyuki Kushida
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Research of the Algebraic Multigrid Method for Electron Optical Simulator
Entropy, 2022 At present, electron optical simulator (EOS) takes a long time to solve linear FEM systems. The algebraic multigrid preconditioned conjugate gradient (AMGPCG) method can improve the efficiency of solving systems.
Zhi Wang +7 more
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Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method [PDF]
SIAM Journal on Scientific Computing, 2000 The authors present a stabilized approximate inverse algorithm for arbitrary symmetric positive definite matrices to be used in preconditioned conjugate gradient methods. They also investigate another approach to prevent breakdowns that is based on the technique of diagonally compensated reduction of positive off-diagonal entries. Numerical results for
Michele Benzi +2 more
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Journal of Telecommunications and Information Technology, 2016 In this article the preconditioned conjugate gradient (PCG) method, realized on GPU and intended to solution of large finite element problems of structural mechanics, is considered.
Sergiy Yu. Fialko , Filip Zeglen
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A new approximate inverse preconditioner based on the Vaidya’s maximum spanning tree for matrix equation AXB = C [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 We propose a new preconditioned global conjugate gradient (PGL-CG) method for the solution of matrix equation AXB = C, where A and B are sparse Stieltjes matrices. The preconditioner is based on the support graph preconditioners.
K. Rezaei, F. Rahbarnia, F. Toutounian
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Low-complexity signal detection algorithm based on preconditioned conjugate gradient method
Dianxin kexue, 2016 For large-scale multiple-input multiple-output system，minimum mean square error signal detection algorithm is near-optimal but involves matrix inversion，and complexity is growing exponentially.
Hua QU +3 more
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Overlapping communications and computations in GPU-based iterative linear solvers
Труды Института системного программирования РАН, 2018 Krylov subspace methods such as Conjugate Gradient and Biconjugate Gradient Stabilized methods are well known approaches for solving symmetric and asymmetric systems of linear algebraic equations, such as systems usually arising from partial differential
V. . Platonov, A. . Monakov
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Preconditioning of conjugate gradients by multigrid solver [PDF]
Applications of Mathematics, 1994 A system of linear algebraic equations \(Ax= b\) is solved by the preconditioned conjugate gradient method. In each step it is usually necessary to solve an auxiliary system of linear equations. In the paper, instead of it, for preconditioning one iteration of the two level method for \(Ax= b\) is used.
Křížková, Jitka, Vaněk, Petr
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Advanced Engineering Materials, EarlyView.A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora +4 more
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Geophysical Research Letters, 2020 The equivalent source is a simple and effective method to level and manipulate magnetic data. However, large misfits between the predicted and synthetic data for different components of the magnetic field are observed when a single layer equivalent ...
Duan Li +5 more
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