Results 41 to 50 of about 37,446 (199)
Mathematics, 2021 In many fields of science and engineering, partial differential equation (PDE) constrained optimal control problems are widely used. We mainly solve the optimization problem constrained by the time-periodic eddy current equation in this paper. We propose
Yan-Ran Li, Xin-Hui Shao, Shi-Yu Li
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The generalized superoptimal preconditioner
Linear Algebra and its Applications, 2010 AbstractFor any given n-by-n matrix A, a specific circulant preconditioner tF(A) introduced by Tyrtyshnikov [E. Tyrtyshnikov, Optimal and super-optimal circulant preconditioners, SIAM J. Matrix Anal. Appl. 13 (1992) 459–473] is defined to be the solution ofminC‖I-C-1A‖Fover all n-by-n nonsingular circulant matrices C.
Jianlong Chen, Xiao-Qing Jin
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A relaxed block splitting preconditioner for complex symmetric indefinite linear systems
Open Mathematics, 2018 In this paper, we propose a relaxed block splitting preconditioner for a class of complex symmetric indefinite linear systems to accelerate the convergence rate of the Krylov subspace iteration method and the relaxed preconditioner is much closer to the ...
Huang Yunying, Chen Guoliang
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ILU preconditioning based on the FAPINV algorithm [PDF]
Opuscula Mathematica, 2015 A technique for computing an ILU preconditioner based on the factored approximate inverse (FAPINV) algorithm is presented. We show that this algorithm is well-defined for H-matrices.
Davod Khojasteh Salkuyeh +2 more
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International Journal of Antennas and Propagation, 2014 The higher-order hierarchical Legendre basis functions combining the electrical field integral equations (EFIE) are developed to solve the scattering problems from the rough surface. The hierarchical two-level spectral preconditioning method is developed
D. Z. Ding +3 more
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MathematicsThe purpose of this work is to study the efficient numerical solvers for time-dependent conservative space fractional diffusion equations. Specifically, for the discretized Toeplitz-like linear system, we aim to study efficient preconditioning based on a
Xiaofeng Guo
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Signal Restoration Combining Modified Tikhonov Regularization and Preconditioning Technology
IEEE Access, 2017 The purpose of signal restoration is to acquire a clean signal from the degraded signal which contains blur and noise. In this paper, a modified Tikhonov regularization method based on the standard Tikhonov regularization matrix is proposed, and the ...
Hong-Xia Dou +3 more
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The Tau method and a new preconditioner
Journal of Computational and Applied Mathematics, 2004 The authors present a formulation of the tau method that makes use of fact that the derivatives of the Chebyshev and Legendre polynomials are Gegenbauer polynomials of higher index. This allows them to find suitable preconditioners. Numerical results are included.
Seyed Mohammad Hosseini, F. Ghoreishi
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Applied Sciences, 2022 The repeated updating of parametric designs is computationally challenging, especially for large-scale multi-physics models. This work is focused on proposing an efficient modal modification method for gradient-based topology optimization of ...
Yu Fu, Li Li, Yujin Hu
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A preconditioned AOR iterative scheme for systems of linear equations with L-matrics
Open Mathematics, 2019 In this paper we investigate theoretically and numerically the new preconditioned method to accelerate over-relaxation (AOR) and succesive over-relaxation (SOR) schemes, which are used to the large sparse linear systems.
Wang Hongjuan
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