Results 21 to 30 of about 1,275 (248)
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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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.
Omorogbe, D.E.A, Osagiede, A.A
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Fast Methods for Solving High Accuracy Surface Modeling
Journal of Algorithms & Computational Technology, 2013 High accuracy surface modeling (HASM) is a novel surface modeling method. The well known preconditioned conjugate gradient (PCG) method is used to solve the equations produced by HASM.
Na Zhao, Tian Xiang Yue
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Super-resolution using preconditioned conjugate gradient method [PDF]
SPIE Proceedings, 2002 In this paper we present a fast iterative image superresolution algorithm using preconditioned conjugate gradient method. To avoid explicitly computing the tolerance in the inverse filter based preconditioner scheme,1 a new Wiener filter based preconditioner for the conjugate gradient method is proposed to speed up the convergence.
Changjiang Yang +2 more
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On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
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Results in Applied Mathematics, 2019 An improved preconditioned conjugate gradient squared (PCGS) algorithm has recently been proposed, and it performs much better than the conventional PCGS algorithm.
Shoji Itoh, Masaaki Sugihara
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Numerical Algorithms for Computing an Arbitrary Singular Value of a Tensor Sum
Axioms, 2021 We consider computing an arbitrary singular value of a tensor sum: T:=In⊗Im⊗A+In⊗B⊗Iℓ+C⊗Im⊗Iℓ∈Rℓmn×ℓmn, where A∈Rℓ×ℓ, B∈Rm×m, C∈Rn×n. We focus on the shift-and-invert Lanczos method, which solves a shift-and-invert eigenvalue problem of (TTT−σ˜2Iℓmn)−1 ...
Asuka Ohashi, Tomohiro Sogabe
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Conjugate gradient type methods and preconditioning
Journal of Computational and Applied Mathematics, 1988 The properties of various iterative methods for the numerical solution of very large, sparse linear systems of equations are reviewed in order to assist the user in making a deliberate selection. Tables that help to make a choice in iterative methods and preconditionings for certain types of problems are presented.
Van der Vorst, Henk A., Dekker, Kees
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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
Benzi, M., Cullum, J. K., Tůma, M.
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Preconditioned Conjugate Gradient Methods for the Navier-Stokes Equations [PDF]
Journal of Computational Physics, 1994 A preconditioned Krylov subspace method (GMRES) is used to solve the linear system of equations of the unsteady two-dimensional compressible Navier-Stokes equations. The Navier-Stokes equations are discretized in an implicit, upwind finite-volume, flux-split formulation.
Ajmani, Kumud +2 more
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