On the convergence of an iterative proceeding of Chebyshev type
Journal of Numerical Analysis and Approximation Theory, 1995 Iterative methods are discussed for solving the operator equation \(f(x)=0\). Here \(f:X\to Y\) is a three times differentiable mapping and \(X\), \(Y\) are Banach spaces. The author considers iterative methods of the form \(x_{n+1}=x_n- D_nf(x_n)-{1\over 2} D_nf''(x_n)(D_nf(x_n))^2\), in which the unique solution \(\widehat x\) and the inverse ...
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Modified Chebyshev‐Picard Iteration Methods for Station‐Keeping of Translunar Halo Orbits [PDF]
, 2012 Xiaoli Bai, John L. Junkins
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A family of Halley–Chebyshev iterative schemes for non-Fréchet differentiable operators
Journal of Computational and Applied Mathematics, 2009 AbstractA modification of some classical third order methods is studied. The main advantage of these methods is that they do not need evaluate any Fréchet derivative. A convergence theorem in Banach spaces, just assuming that the second divided difference is bounded by a nondecreasing function and a punctual condition, is presented.
Sergio Amat +3 more
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Yuanzineng kexue jishu, 2023 The structural materials in the reactor and the corrosion products in the loop will be activated into radionuclides after being irradiated by strong neutrons.
ZHANG Binhang;BI Yanzhao;ZHANG Cong;YUAN Xianbao;ZHANG Yonghong;TANG Haibo
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The iterative solution of non-linear ordinary differential equations in Chebyshev series [PDF]
, 1964 H. J. Norton
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An Efficient Two-Stage Receiver Base on AOR Iterative Algorithm and Chebyshev Acceleration for Uplink Multiuser Massive-MIMO OFDM Systems [PDF]
, 2021 Yung‐Ping Tu +2 more
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Linear iterative solvers for implicit ODE methods [PDF]
The numerical solution of stiff initial value problems, which lead to the problem of solving large systems of mildly nonlinear equations are considered.
Saylor, Paul E., Skeel, Robert D.
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A Chebyshev–Halley Method with Gradient Regularization and an Improved Convergence Rate
MathematicsHigh-order methods are particularly crucial for achieving highly accurate solutions or satisfying high-order optimality conditions. However, most existing high-order methods require solving complex high-order Taylor polynomial models, which pose ...
Jianyu Xiao, Haibin Zhang, Huan Gao
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Comparing solution methods for dynamic equilibrium economies [PDF]
This paper compares solution methods for dynamic equilibrium economies. The authors compute and simulate the stochastic neoclassical growth model with leisure choice using Undetermined Coefficients in levels and in logs, Finite Elements, Chebyshev ...
Jesus Fernandez-Villaverde +2 more
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Combination of Newton-Halley-Chebyshev Iterative Methods Without Second Derivatives [PDF]
, 2017 Ahmad Syakir
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