Results 41 to 50 of about 770,509 (245)
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 ...
Santos, Newton R., Linhares, Odelar L.
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An Efficient Iterative Scheme Using Family of Chebyshev’s Operations [PDF]
Mathematical Problems in Engineering, 2015 This paper presents an efficient iterative method originated from the family of Chebyshev’s operations for the solution of nonlinear problems. For this aim, the product operation matrix of integration is presented, and therefore the operation of derivative is developed by using Chebyshev wavelet functions of the first and second kind, initially. Later,
Seyed Hossein Mahdavi +1 more
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Milestones in the Development of Iterative Solution Methods
Journal of Electrical and Computer Engineering, 2010 Iterative solution methods to solve linear systems of equations were originally formulated as basic iteration methods of defect-correction type, commonly referred to as Richardson's iteration method.
Owe Axelsson
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Results in Optics, 2022 The paper presents simple but accurate analytical expressions for the estimation of variation of signal and pump intensity with normalised radial distance in case of erbium doped fiber amplifier.
Tilak Mukherjee +2 more
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Modified Variational Iteration Algorithm-II: Convergence and Applications to Diffusion Models
Complexity, 2020 Variational iteration method has been extensively employed to deal with linear and nonlinear differential equations of integer and fractional order. The key property of the technique is its ability and flexibility to investigate linear and nonlinear ...
Hijaz Ahmad +4 more
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Overview of Precoding Techniques for Massive MIMO
IEEE Access, 2021 Massive multiple-input multiple-output (MIMO) is playing a crucial role in the fifth generation (5G) and beyond 5G (B5G) communication systems. Unfortunately, the complexity of massive MIMO systems is tremendously increased when a large number of ...
Mahmoud A. Albreem +3 more
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Partial Differential Equations in Applied MathematicsTo numerically solve the linear Volterra integro-differential equation, this study employs fourth-kind Chebyshev polynomials and the variational iteration algorithm with collocation, which is a combination of the variational iteration strategy and ...
Ikechukwu Jackson Otaide +1 more
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Performance Evaluation of Short Packet Communications in NOMA VLC Systems With Imperfect CSI
IEEE Access, 2022 In this paper, we analyze and evaluate the impacts of imperfect channel state information (CSI) of the short packet communication (SPC) in a non-orthogonal multiple access (NOMA) visible light communication (VLC) system.
Giang N. Tran, Sunghwan Kim
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Two Dynamic Remarks on the Chebyshev–Halley Family of Iterative Methods for Solving Nonlinear Equations [PDF]
, 2023 J.M. Gutiérrez, Víctor Galilea
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An improvement of the Euler–Chebyshev iterative method
Journal of Mathematical Analysis and Applications, 2006 The computation of a simple root of a sufficiently smooth scalar function \(f\) is discussed. The Newton method and the Euler-Chebyshev method are briefly presented. A method based on the Euler-Chebyshev method using a linear combination of function values of \(f\) with a convergence order of 5 is constructed.
Grau, Miquel, Díaz-Barrero, José Luis
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