Results 21 to 30 of about 10,608 (327)
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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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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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
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Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis.
Optics Express, 2001 We describe a fully-vectorial, three-dimensional algorithm to compute the definite-frequency eigenstates of Maxwell's equations in arbitrary periodic dielectric structures, including systems with anisotropy (birefringence) or magnetic materials, using ...
Steven G. Johnson, J. Joannopoulos
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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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Analysis of Monte Carlo accelerated iterative methods for sparse linear systems
Numerical Linear Algebra with Applications, 2017 We consider hybrid deterministic‐stochastic iterative algorithms for the solution of large, sparse linear systems. Starting from a convergent splitting of the coefficient matrix, we analyze various types of Monte Carlo acceleration schemes applied to the
M. Benzi +4 more
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Regularization Preconditioners for Frame-Based Image Deblurring with Reduced Boundary Artifacts [PDF]
SIAM Journal on Scientific Computing, 2015 Thresholding iterative methods were recently successfully applied to image deblurring problems. In this paper, we investigate the modified linearized Bregman algorithm (MLBA) used in image deblurring problems, with a proper treatment of the boundary ...
Yuantao Cai +3 more
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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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On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations [PDF]
Advances in Difference Equations, 2019 AbstractBy exploiting Toeplitz-like structure and non-Hermitian dense property of the discrete coefficient matrix, a new double-layer iterative method called SHSS-PCG method is employed to solve the linear systems originating from the implicit finite difference discretization of fractional diffusion equations (FDEs).
Mu-Zheng Zhu, Guo-Feng Zhang, Ya-E Qi
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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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