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Two-Step Fifth-Order Efficient Jacobian-Free Iterative Method for Solving Nonlinear Systems
MathematicsThis article introduces a novel two-step fifth-order Jacobian-free iterative method aimed at efficiently solving systems of nonlinear equations. The method leverages the benefits of Jacobian-free approaches, utilizing divided differences to circumvent ...
Alicia Cordero +3 more
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On some computational orders of convergence
Applied Mathematics Letters, 2010 Two variants of the Computational Order of Convergence (COC) of an iterative method for solving nonlinear equations are presented. Furthermore, the way to approximate the COC and the new variants to the local order of convergence is analyzed. The new definitions given here does not involve the unknown root.
Miquel Grau-Sánchez +2 more
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Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
, 2015 We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting.
George, Santhosh +2 more
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On “A new three-step fixed point iteration scheme with strong convergence and applications” [PDF]
This note delves into the convergence analysis of several iterative methods and elucidates their behaviors. Furthermore, we demonstrate that the findings presented in “A new three-step fixed point iteration scheme with strong convergence and applications”
Rafiq, Arif
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MathematicsWe consider a numerical approximation for stochastic fractional differential equations driven by integrated multiplicative noise. The fractional derivative is in the Caputo sense with the fractional order α∈(0,1), and the non-linear terms satisfy the ...
James Hoult, Yubin Yan
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Statistical Order Convergence and Statistically Relatively Uniform Convergence in Riesz Spaces
Journal of Function Spaces, 2018 A new concept of statistically e-uniform Cauchy sequences is introduced to study statistical order convergence, statistically relatively uniform convergence, and norm statistical convergence in Riesz spaces.
Xuemei Xue, Jian Tao
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The Coming Multi-Order World [PDF]
, 2016 The article shows that the current international system is changing towards a completely new form of international system, conceptualized as a multi-order system. The suggestion for a multi-order world stands in contrast to three current narratives about
Flockhart, Trine
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Three-Step Derivative-Free Method of Order Six
Foundations, 2023 Derivative-free iterative methods are useful to approximate the numerical solutions when the given function lacks explicit derivative information or when the derivatives are too expensive to compute.
Sunil Kumar +3 more
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Birkhoff's order-convergence in partially ordered sets
Topology and its Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Tao, Li, Qingguo, Guo, Lankun
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High-Order Hybrid Stratified Sampling: Fast Uniform-Convergence Fourier Transform Estimation [PDF]
, 2018 This paper considers the problem of estimating the Fourier transform of continuous-time signals from N nonuniformly collected observations. Here, we introduce a new class of Hybrid Stratified sampling scheme in conjunction with a suitable estimator ...
Al-Ani, M. +5 more
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