A stability-enhanced preconditioned Haar wavelet scheme for the solution of Poisson and Helmholtz equations [PDF]
Scientific ReportsThis study presents a modified numerical framework based on scale-3 Haar wavelets for the solution of elliptic partial differential equations, namely the Poisson and the Helmholtz equations.
Avinash K., Harinakshi Karkera
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Pre-Dog-Leg: A Feature Optimization Method for Visual Inertial SLAM Based on Adaptive Preconditions [PDF]
SensorsTo address the ill-posedness of the Hessian matrix in monocular visual-inertial SLAM (Simultaneous Localization and Mapping) caused by unobservable depth of feature points, which leads to convergence difficulties and reduced robustness, this paper ...
Junyang Zhao +6 more
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A New Hybrid Preconditioner for the Interior Point Method
Trends in Computational and Applied Mathematics, 2019 This study aims to improve the computation of the search direction in the primal-dual Interior Point Method through preconditioned iterative methods. It is about a hybrid approach that combines the Controlled Cholesky Factorization preconditioner and ...
Manolo Rodriguez Heredia +2 more
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A New Approach to the Splitting Factor Preconditioner Applied to Linear Programming Problems
Trends in Computational and Applied Mathematics, 2022 In this paper, we present the results of a new approach to the splitting factor preconditioner, which is a preconditioner based on the Incomplete Cholesky factorization and the splitting preconditioner.
P. A. Kikuchi, A. R. L. Oliveira
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Preconditioning of fully implicit Runge-Kutta schemes for parabolic PDEs [PDF]
Modeling, Identification and Control, 2006 Recently, the authors introduced a preconditioner for the linear systems that arise from fully implicit Runge-Kutta time stepping schemes applied to parabolic PDEs (9).
Gunnar A. Staff +2 more
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Support-Graph Preconditioners [PDF]
SIAM Journal on Matrix Analysis and Applications, 2006 The authors extend the ``support-graph preconditioning'' technique, introduced by \textit{Y. Notay} [Lect. Notes Math. 1457, 105--125 (1990; Zbl 0722.65012); Linear Algebra 154--156, 711--722 (1991; Zbl 0735.65028); Appl. Numer. Math. 10, No. 5, 381--396 (1992; Zbl 0756.65049)], \textit{R. Beauwens} [Linear Algebra Appl.
Marshall W. Bern +4 more
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Analysis of Two-Level Complex Shifted Laplace Preconditioner and Deflation-Based Preconditioner for Helmholtz Equation [PDF]
, 2022 A Long time deflation preconditioner is used to speed up the convergence of the Krylov subspace method. The discretization of Helmholtz equation with Dirichlet boundary condition by finite difference method obtained any linear system.
Shiekh, Hanan +2 more
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An OSRC Preconditioner for the EFIE
IEEE Transactions on Antennas and Propagation, 2023 The Electric Field Integral Equation (EFIE) is a well-established tool to solve electromagnetic scattering problems. However, the development of efficient and easy to implement preconditioners remains an active research area. In recent years, operator preconditioning approaches have become popular for the EFIE, where the electric field boundary ...
Ignacia Fierro-Piccardo, Timo Betcke
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A fast and efficient algorithm to compute BPX- and overlapping preconditioner for adaptive 3D-FEM [PDF]
, 2008 In this paper we consider the well-known BPX-preconditioner in conjunction with adaptive FEM. We present an algorithm which enables us to compute the preconditioner with optimal complexity by a total of only O(DoF) additional memory.
Eibner, Tino
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Toeplitz-like preconditioner for linear systems from spatial fractional diffusion equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 The article deals with constructing Toeplitz-like preconditioner for linear systems arising from finite difference discretization of the spatial fractional diffusion equations. The coefficient matrices of these linear systems have an $S+L$ structure,
N. Akhoundi
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