Chebyshev Polynomial Iterations and Approximate Solutions of Linear Operator Equations
Zeitschrift für Analysis und ihre Anwendungen, 1994 An iteration scheme for the approximate solution of a linear operator equation in a Banach space is discussed from the viewpoint of Chebyshev polynomials. The optimal rate of convergence is described by numerical characteristics which are similar to (but different from) the classical Chebyshev constants.
A.P. Zabrejko, Petr P. Zabrejko
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A Multilayer Nonlinear Permutation Framework and Its Demonstration in Lightweight Image Encryption [PDF]
EntropyAs information systems become more widespread, data security becomes increasingly important. While traditional encryption methods provide effective protection against unauthorized access, they often struggle with multimedia data like images and videos ...
Cemile İnce, Kenan İnce, Davut Hanbay
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COMPARISON OF CHEBYSHEV AND ANDERSON ACCELERATIONS FOR THE NEUTRON TRANSPORT EQUATION [PDF]
EPJ Web of Conferences, 2021 This work focuses on the k-eigenvalue problem of the neutron transport equation. The variables of interest are the largest eigenvalue (keff) and the corresponding eigenmode is called the fundamental mode.
Calloo Ansar +2 more
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Reconstructed variational iteration algorithm via third-kind shifted Chebyshev polynomials for the numerical solution of seventh-order boundary value problems [PDF]
Mathematics and Computational Sciences, 2022 The variational iteration algorithm using shifted Chebyshev polynomials of the third kind was used to obtain the numerical solution of seventh order Boundary Value Problems(PVBs) in this paper.
Christie Yemisi Ishola +5 more
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ON COMPARISONS OF CHEBYSHEV-HALLEY ITERATION FUNCTIONS BASED ON THEIR ASYMPTOTIC CONSTANTS [PDF]
, 2013 François Dubeau
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Mehran University Research Journal of Engineering and Technology, 2023 The goal of the work is to solve the nonlinear convection-diffusion-reaction problem using the variational iteration method with the combination of the Chebyshev wavelet.
Muhammad Memon +2 more
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Barekeng, 2022 The variant of Chebyshev-Halley’s method is an iterative method used for solving a nonlinear equation with third order of convergence. In this paper, we present some new variants of three steps Chebyshev-Halley’s method free from second derivative with ...
Yuslenita Muda +3 more
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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.
Amat, S., Busquier, S.
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
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Fast matrix inversion based on Chebyshev acceleration for linear detection in massive MIMO systems
Electronics Letters, 2022 To circumvent the prohibitive complexity of linear minimum mean square error detection in a massive multiple‐input multiple‐output system, several iterative methods have been proposed.
Salah Berra +2 more
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