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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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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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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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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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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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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An adaptive preconditioner for steady incompressible flows [PDF]
, 2016 This paper describes an adaptive preconditioner for numerical continuation of incompressible Navier--Stokes flows. The preconditioner maps the identity (no preconditioner) to the Stokes preconditioner (preconditioning by Laplacian) through a continuous ...
Beaume, C.
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A parameterized shift-splitting preconditioner for saddle point problems
Mathematical Biosciences and Engineering, 2019 Recently, Chen and Ma [A generalized shift-splitting preconditioner for saddle point problems, Applied Mathematics Letters, 43 (2015) 49-55] introduced a generalized shift-splitting preconditioner for saddle point problems with symmetric positive ...
Li-Tao Zhang , Chao-Qian Li, Yao-Tang Li
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A dimension expanded preconditioning technique for block two-by-two linear equations
Demonstratio Mathematica, 2023 In this article, we introduce a novel block preconditioner for block two-by-two linear equations by expanding the dimension of the coefficient matrix. Theoretical results on the eigenvalues distribution of the preconditioned matrix are obtained, and a ...
Luo Wei-Hua, Carpentieri Bruno, Guo Jun
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