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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 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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Parallel Multilevel Preconditioners [PDF]
Mathematics of Computation, 1990 In this paper, we provide techniques for the development and analysis of parallel multilevel preconditioners for the discrete systems which arise in numerical approximation of symmetric elliptic boundary value problems. These preconditioners are defined as a sum of independent operators on a sequence of nested subspaces of the full approximation space.
Bramble, J.H. +2 more
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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.
Bern, Marshall +4 more
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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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A two-sweep shift-splitting iterative method for complex symmetric linear systems
AIMS Mathematics, 2020 Recently, Chen and Ma [21] constructed the generalized shift-splitting (GSS) preconditioner, and gave the corresponding theoretical analysis and numerical experiments.
Li-Tao Zhang +5 more
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Communication Avoiding ILU0 Preconditioner [PDF]
SIAM Journal on Scientific Computing, 2015 Summary: In this paper we present a communication avoiding ILU0 preconditioner for solving large linear systems of equations by using iterative Krylov subspace methods. Recent research has focused on communication avoiding Krylov subspace methods based on so-called \(s\)-step methods.
Grigori, Laura, Moufawad, Sophie
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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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Fractal and Fractional, 2023 Fractional derivatives and regime-switching models are widely used in various fields of finance because they can describe the nonlocal properties of the solutions and the changes in the market status, respectively.
Xu Chen +3 more
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