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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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Extremal values of differential equations with application to control systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 In the paper, maximal values xe(τ) of the solutions x(t) of the linear differential equations excited by the Dirac delta function are determined. The analytical solutions of the equations and also the maximal positive values of these solutions are ...
Henryk Górecki, Mieczysław Zaczyk
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Mathematics, 2021 In this study, we propose an extension of the modified Newton-Househölder methods to find multiple roots with unknown multiplicity of nonlinear equations.
Syahmi Afandi Sariman +3 more
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ON THE ROOTS OF SYSTEMS OF TRANSCENDENTAL EQUATIONS
Проблемы анализа, 2023 The article is devoted to investigation of simple and multiple roots of systems of transcendental equations. It is shown that the number is related to the number of real roots of the resultant of the system. Examples for systems of equations are given.
A. M. Kytmanov, O. V. Khodos
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On Constructing a Family of Sixth-Order Methods for Multiple Roots
Fractal and Fractional, 2023 A family of three-point, sixth-order, multiple-zero solvers is developed, and special cases of weight functions are investigated based on polynomials and low-order rational functions.
Young Hee Geum
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Journal of Dental Sciences, 2021 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.
Raweewan Arayasantiparb +1 more
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An Optimal Derivative-Free Ostrowski’s Scheme for Multiple Roots of Nonlinear Equations
Mathematics, 2020 Finding higher-order optimal derivative-free methods for multiple roots (m≥2) of nonlinear expressions is one of the most fascinating and difficult problems in the area of numerical analysis and Computational mathematics.
Ramandeep Behl +3 more
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Evaluation and Comparison of the Position of the Apical Constriction in Single-root and Multiple-root Teeth [PDF]
Journal of Mashhad Dental School, 2017 Introduction: Precise knowledge of the location of the apical constriction is essential to root canal treatment and long-term prognosis. Considering the differences in the apical constriction and size of the roots in single- and multiple-root teeth in ...
Alireza Farhad +4 more
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Multiple idiopathic root resorption: a case report and literature review
口腔疾病防治, 2023 Objective To explore the etiology, clinical manifestations, diagnosis and treatment of multiple idiopathic root resorption to provide a reference for clinical diagnosis and treatment.
JIANG Xiaowei +5 more
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Plant Virology Delivers Diverse Toolsets for Biotechnology
Viruses, 2020 Over a hundred years of research on plant viruses has led to a detailed understanding of viral replication, movement, and host–virus interactions. The functions of vast viral genes have also been annotated.
Mo Wang +5 more
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