Results 11 to 20 of about 5,306,015 (308)
Subresultants in multiple roots [PDF]
Linear Algebra and its Applications, 2013 21 pages, latex file.
D'andrea, Carlos +2 more
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The computation of multiple roots of a polynomial [PDF]
Journal of Computational and Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joab R. Winkler, Xin Lao, Madina Hasan
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Method for finding multiple roots of polynomials [PDF]
Computers & Mathematics with Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang-Dau Yan, Wei-Hua Chieng
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Parallel square-root iterations for multiple roots [PDF]
Computers & Mathematics with Applications, 1980 AbstractIn [1] Laguerre's method has been extended to determine all simple roots of a polynomial together with error bounds at each iteration step. In this paper we extend the previous algorithm to multiple complex roots and show that, also in this case, the convergence rate is of order four. Some numerical examples illustrate the theoretical results.
Gargantini, Irene, Irene Gargantini
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Derivative-Free King’s Scheme for Multiple Zeros of Nonlinear Functions
Mathematics, 2021 There is no doubt that the fourth-order King’s family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, it has a linear order of convergence ...
Ramandeep Behl +3 more
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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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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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