Results 11 to 20 of about 17,217 (243)
The Chebyshev iteration revisited [PDF]
Parallel Computing, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin H. Gutknecht, Stefan Röllin
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Convergence of Chebyshev semi-iterative methods
Journal of Computational and Applied Mathematics, 1986 Für stationäre iterative Verfahren zur Lösung von linearen Gleichungssystemen sind die Konvergenzbedingungen auf Grund des Spektralradius der Iterationsmatrix klar definiert. Dies trifft nicht zu für nichtstationäre Methoden. In der vorliegenden Arbeit wird für die Chebyshevsche semi-iterative Methode nach Varga oder Young die folgende hinreichende ...
Newton Ribeiro dos Santos +1 more
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The Chebyshev Polynomial Method of Iteration [PDF]
, 1967 In this report the practical use of he Chebyshev polynomial method of iteration is discusses. The convergence behavior of the Chebyshev method is given and a numerical strategy is described which can be used to estimate the required acceleration parameters. Numerical examples are discussed.
L. A. Hageman
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Deep Unfolding of Chebyshev Accelerated Iterative method for Massive MIMO Detection [PDF]
IEEE Access, 2023 The zero-forcing (ZF) and minimum mean square error (MMSE) based detectors can approach optimal performance in the uplink of massive multiple-input multiple-output (MIMO) systems. However, they require inverting a matrix whose complexity is cubic in relation to the matrix dimension.
Salah Berra +3 more
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Chebyshev acceleration of iterative refinement [PDF]
Numerical Algorithms, 2013 It is well known that the FGMRES algorithm can be used as an alternative to iterative refinement and, in some instances, is successful in computing a backward stable solution when iterative refinement fails to converge. In this study, we analyse how variants of the Chebyshev algorithm can also be used to accelerate iterative refinement without loss of ...
M. Arioli, JA Scott
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Chebyshev iteration methods for integral equations of the second kind. [PDF]
Mathematics of Computation, 1970 In this paper the numerical solution of Fredholm integral equations of the second kind using an iterative method in which the solution is represented by a Chebyshev series is discussed. A description of a technique of Chebyshev reduction of the norm of the kernel for use in cases when the iterations converge slowly or not at all is also given. Finally,
T. W. Sag
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Chebyshev Periodical Successive Over-Relaxation for Accelerating Fixed-Point Iterations [PDF]
IEEE Signal Processing Letters, 2021 A novel method which is called the Chebyshev inertial iteration for accelerating the convergence speed of fixed-point iterations is presented. The Chebyshev inertial iteration can be regarded as a valiant of the successive over relaxation or Krasnosel'ski\v -Mann iteration utilizing the inverse of roots of a Chebyshev polynomial as iteration dependent
Tadashi Wadayama, Satoshi Takabe
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Preconditioned Nonlinear Iterations for Overlapping Chebyshev Discretizations with Independent Grids [PDF]
SIAM Journal on Scientific Computing, 2020 The additive Schwarz method is usually presented as a preconditioner for a PDE linearization based on overlapping subsets of nodes from a global discretization. It has previously been shown how to apply Schwarz preconditioning to a nonlinear problem.
Kevin W. Aiton, Tobin A. Driscoll
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On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part I [PDF]
Russian Journal of Numerical Analysis and Mathematical Modelling, 2002 Summary: This paper deals with the construction of stable infinitely extendable Chebyshev iterative processes and explicit stable methods for solving stiff systems of differential equations. It is a continuation of Part I [ibid. 17, No. 5, 437--456 (2002; Zbl 1032.65059)].
V.I. Lebedev, S. A. Finogenov
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After notes on Chebyshev's iterative method [PDF]
Applied Mathematics and Nonlinear Sciences, 2017 Abstract This paper is a small review of Chebyshev’s method. The geometric interpretation as a generalization of Newton’s method is derived. Using this interpretation its global convergence is proved. Some dynamical properties are studied. As a higher order method, they are more complicated than in Newton’s method.
Sonia Busquier, Sergio Amat
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