Results 21 to 30 of about 1,481 (288)
A comparison theorem for the iterative method with the preconditioner (I+Smax)
Journal of Computational and Applied Mathematics, 2002 The authors propose the preconditioner \(P_m=I+S_{\max}\) where \(S_{\max}\) is contructed by using only the largest element of each row of the upper triangular part of the nonsingular diagonally dominant \(\mathbb Z\)-matrix \(A\), that is, \(S_{\max}=(s_{ij}^m)=-a_{ik_i}\) for \(i=1,2,\ldots,n-1\), \(j>i\), and \(0\) otherwise, where \(k_i=\min j\in\{
Kotakemori, Hisashi +3 more
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Regularizing Inverse Preconditioners for Symmetric Band Toeplitz Matrices
EURASIP Journal on Advances in Signal Processing, 2007 Image restoration is a widely studied discrete ill-posed problem. Among the many regularization methods used for treating the problem, iterative methods have been shown to be effective.
O. Menchi, G. Lotti, P. Favati
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Parallel iterative computational methods for 3D finite element flow simulations
Computer Assisted Methods in Engineering and Science, 2023 In this paper we discuss sparse matrix computational methods, and their parallel implementations, for evaluating matrix-vector products in iterative solution of coupled, nonlinear equations encountered in finite element flow simulations. Based on sparse
Vinay Kalro, Tayfun Tezduyar
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Open Mathematics, 2023 Recently, regime-switching option pricing based on fractional diffusion models has been used, which explains many significant empirical facts about financial markets better.
Wu Shuang +3 more
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Journal of Numerical Analysis and Approximation Theory, 2023 Book review for: Gabriele Ciaramella, Martin J. Gander, Iterative Methods and Preconditioners for Systems of Linear Equations, SIAM, Philadelphia, 2022, X + 275 pp., ISBN 978-1-611976-89-2 (paperback), ISBN 978-1-61197-690-8 (ebook).
jnaat
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Block regularization Kaczmarz method
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 This article focuses on the modification of the iterative version of Kaczmarz block algorithm for solving the problem of regularization, which is a fairly effective method for large-scale problems.
Ekaterina Yu Bogdanova
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E3S Web of Conferences, 2022 Software has been developed in the C++ programming language using the MPI parallel programming technology, designed for mathematical modeling of the transport of substances in coastal systems. When calculating the dynamics of the spread of a pollutant, the decomposition of the computational domain was carried out to organize the computational process ...
Atayan Asya +2 more
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Fast iterative solvers for PDE-constrained optimization problems
, 2013 In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to ...
Pearson, John W
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Журнал Белорусского государственного университета: Математика, информатика, 2019 Development of efficient finite difference schemes and iterative methods for solving anisotropic diffusion problems in an arbitrary geometry domain is considered.
Vasily M. Volkov, Alena V. Prakonina
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Computation, 2020 In this paper, we consider the numerical solution of the optimal control problems of the elliptic partial differential equation. Numerically tackling these problems using the finite element method produces a large block coupled algebraic system of ...
Kizito Muzhinji, Stanford Shateyi
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