LAUSR

A Family of High Order Numerical Methods for Solving Nonlinear Algebraic Equations with Simple and Multiple Roots

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1 Published in 2017 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-017-0405-6

Abstract: In this paper, we present, analyze, and test a family of high order iterative methods for finding simple and multiple roots of nonlinear algebraic equations of the form $$f(x)=0$$f(x)=0. The proposed method can achieve convergence… read more here.

Keywords: family high; order; multiple roots; simple multiple ... See more keywords

Prevalence and morphology of multiple roots, root canals and C-shaped canals in mandibular premolars from cone-beam computed tomography images in a Thai population

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0 Published in 2021 at "Journal of Dental Sciences"

DOI: 10.1016/j.jds.2020.06.010

Abstract: Background/purpose Variations in root and root canal morphology of mandibular premolars of Thais has not been reported, and understanding these variations enhances endodontic success. The purpose was to investigate prevalence and morphology of multiple roots,… read more here.

Keywords: shaped canals; root canals; multiple roots; roots root ... See more keywords

Dynamics and limiting behavior of Julia sets of König's method for multiple roots

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1 Published in 2018 at "Topology and its Applications"

DOI: 10.1016/j.topol.2017.10.013

Abstract: Abstract A well known result of J. Hubbard, D. Schleicher and S. Sutherland (see [27] ) shows that if f is a complex polynomial of degree d , then there is a finite set S… read more here.

Keywords: dynamics limiting; method multiple; multiple roots; behavior julia ... See more keywords

Simultaneous Immune Attack to Multiple Roots and the Spinal Cord.

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1 Published in 2022 at "Journal of clinical neuromuscular disease"

DOI: 10.1097/cnd.0000000000000364

Abstract: ABSTRACT A patient with concurrent occurrence of polyradiculopathy and myelopathy is presented. Diagnostic investigation and clinical outcome supported the diagnosis of chronic inflammatory demyelinating polyradiculoneuropathy variant. read more here.

Keywords: simultaneous immune; roots spinal; immune attack; spinal cord ... See more keywords

A Family of Optimal Eighth Order Iteration Functions for Multiple Roots and Its Dynamics

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1 Published in 2021 at "Journal of Mathematics"

DOI: 10.1155/2021/5597186

Abstract: In this manuscript, we present a new general family of optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity using weight functions. An extensive convergence analysis is presented to verify the… read more here.

Keywords: eighth order; family optimal; multiple roots; family ... See more keywords

Approximating Multiple Roots of Applied Mathematical Problems Using Iterative Techniques

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0 Published in 2023 at "Axioms"

DOI: 10.3390/axioms12030270

Abstract: In this study, we suggest a new iterative family of iterative methods for approximating the roots with multiplicity in nonlinear equations. We found a lack in the approximation of multiple roots in the case that… read more here.

Keywords: applied mathematical; multiple roots; approximating multiple; roots applied ... See more keywords

An Optimal Eighth-Order Family of Iterative Methods for Multiple Roots

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1 Published in 2019 at "Mathematics"

DOI: 10.3390/math7080672

Abstract: In this paper, we introduce a new family of efficient and optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity ( m ≥ 1 ) . We use the weight function… read more here.

Keywords: iterative methods; multiple roots; eighth order; family ... See more keywords

Optimal Derivative-Free One-Point Algorithms for Computing Multiple Zeros of Nonlinear Equations

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym14091881

Abstract: In this paper, we describe iterative derivative-free algorithms for multiple roots of a nonlinear equation. Many researchers have evaluated the multiple roots of a nonlinear equation using the first- or second-order derivative of functions. However,… read more here.

Keywords: optimal derivative; free one; algorithms; one point ... See more keywords