Results 11 to 20 of about 212,635 (266)
An Optimal Order Method for Multiple Roots in Case of Unknown Multiplicity [PDF]
Algorithms, 2016 In the literature, recently, some three-step schemes involving four function evaluations for the solution of multiple roots of nonlinear equations, whose multiplicity is not known in advance, are considered, but they do not agree with Kung–Traub’s ...
Jai Prakash Jaiswal
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Nonlinear polynomial systems: multiple roots and their multiplicities [PDF]
Proceedings Shape Modeling Applications, 2004., 2004 We present methods for the computation of roots of univariate and bivariate nonlinear polynomial systems as well as the identification of their multiplicity. We first present an algorithm, called the TDB algorithm, which computes the values and the multiplicities of roots of a univariate polynomial.
Kwang Hee Ko +2 more
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A Higher Order Chebyshev-Halley-Type Family of Iterative Methods for Multiple Roots
Mathematics, 2019 The aim of this paper is to introduce new high order iterative methods for multiple roots of the nonlinear scalar equation; this is a demanding task in the area of computational mathematics and numerical analysis. Specifically, we present a new Chebyshev&
Ramandeep Behl +3 more
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An Optimal Iterative Technique for Multiple Root Finder of Nonlinear Problems
Mathematical and Computational Applications, 2022 In this paper, an optimal higher-order iterative technique to approximate the multiple roots of a nonlinear equation has been presented. The proposed technique has special properties: a two-point method that does not involve any derivatives, has an ...
Ramandeep Behl +3 more
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Subresultants in multiple roots
Linear Algebra and its Applications, 2013 21 pages, latex file.
D'andrea, Carlos +2 more
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Derivative-Free Iterative Schemes for Multiple Roots of Nonlinear Functions
Mathematics, 2022 The construction of derivative-free iterative methods for approximating multiple roots of a nonlinear equation is a relatively new line of research. This paper presents a novel family of one-parameter second-order techniques.
Himani Arora +4 more
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Mathematics, 2023 The methods that use memory using accelerating parameters for computing multiple roots are almost non-existent in the literature. Furthermore, the only paper available in this direction showed an increase in the order of convergence of 0.5 from the ...
G Thangkhenpau +3 more
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Multiple unit roots in periodic autoregression [PDF]
Journal of Econometrics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boswijk, H.P. +2 more
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Mathematical Modelling and Analysis, 2019 In this paper, we present many new one-parameter families of classical Rall’s method (modified Newton’s method), Schröder’s method, Halley’s method and super-Halley method for the first time which will converge even though the guess is far away from the ...
Ramandeep Behl +2 more
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