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A note on local convergence of iterative processes for pipe network analysis
Computational and Applied Mathematics, 2023Analysis of pipe networks involves computing flow rates and pressure differences on pipe segments in the network, given the external inflow/outflow values.
Huong Luu, Marek Chrobak
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Comput. Math. Methods, 2021
The aim of this article is to extend the applicability of Newton’s method involving k -Fréchet differentiable operators. By using tighter majorizing functions and under the same computational cost as in earlier works, we find at least as large radius of ...
I. Argyros +4 more
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The aim of this article is to extend the applicability of Newton’s method involving k -Fréchet differentiable operators. By using tighter majorizing functions and under the same computational cost as in earlier works, we find at least as large radius of ...
I. Argyros +4 more
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2010 42nd Southeastern Symposium on System Theory (SSST 2010), 2010
This paper describes the radius of convergence of a self-excited feedback interconnection of two locally convergent Fliess operators. A fundamental and achievable positive lower bound on the radius of convergence for the composite system is computed.
W. Steven Gray, Makhin Thitsa
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This paper describes the radius of convergence of a self-excited feedback interconnection of two locally convergent Fliess operators. A fundamental and achievable positive lower bound on the radius of convergence for the composite system is computed.
W. Steven Gray, Makhin Thitsa
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An Optimal Reconstruction of Chebyshev–Halley-Type Methods with Local Convergence Analysis
International Journal of Computational Methods, 2020Our principle aim in this paper is to present a new reconstruction of classical Chebyshev–Halley schemes having optimal fourth and eighth-order of convergence for all parameters [Formula: see text] unlike in the earlier studies.
A. Alshomrani, I. Argyros, R. Behl
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International Journal of Computational Mathematics
First, a novel derivative-free single-parameter iterative method without memory for solving nonlinear systems is designed, and the convergence order of the method without memory is proved to be fourth order by using the higher Fréchet derivative. Second,
Xiaofeng Wang, Ning Shang
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First, a novel derivative-free single-parameter iterative method without memory for solving nonlinear systems is designed, and the convergence order of the method without memory is proved to be fourth order by using the higher Fréchet derivative. Second,
Xiaofeng Wang, Ning Shang
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Punjab University journal of mathematics
Developing efficient and robust iterative methods for solving nonlinear equations is a critical task in various scientific and engineering fields. In this study, we presented a three-step eighth-order derivative-free iterative scheme based on Lagrange ...
Maira Khalid +2 more
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Developing efficient and robust iterative methods for solving nonlinear equations is a critical task in various scientific and engineering fields. In this study, we presented a three-step eighth-order derivative-free iterative scheme based on Lagrange ...
Maira Khalid +2 more
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Engineering computations
This study aims to develop a new three-parameter Jarratt-type iterative method for solving systems of nonlinear equations with higher order convergence, increased flexibility, and improved numerical performance compared to well-known existing ...
Shubham Kumar Mittal +2 more
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This study aims to develop a new three-parameter Jarratt-type iterative method for solving systems of nonlinear equations with higher order convergence, increased flexibility, and improved numerical performance compared to well-known existing ...
Shubham Kumar Mittal +2 more
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