Results 31 to 40 of about 212,635 (266)
Root-multiplicity and root iterative refinement
Filomat, 2023 We discuss root-finding algorithms for multiple zeros of nonlinear equations in one variable. Recent investigations regarding this problem were mainly aimed at deriving schemes that use the beforehand knowledge of root multiplicity. In this communication we investigate several such root-finding methods under the assumption that the ...
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Mathematics, 2020 In the study of dynamics of physical systems an important role is played by symmetry principles. As an example in classical physics, symmetry plays a role in quantum physics, turbulence and similar theoretical models.
Ramandeep Behl +4 more
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An Optimal Eighth-Order Family of Iterative Methods for Multiple Roots
Mathematics, 2019 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 approach involving one and two parameters to
Saima Akram, Fiza Zafar, Nusrat Yasmin
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Roots Multiplicity without Companion Matrices [PDF]
Fundamenta Informaticae, 2017 We show a method for constructing a polynomial interpolating roots’ multiplicities of another polynomial, that does not use companion matrices. This leads to a modification to Guersenzvaig–Szechtman square-free decomposition algorithm that is more efficient both in theory and in practice.
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Subresultants in multiple roots: An extremal case [PDF]
Linear Algebra and its Applications, 2017 18 pages, uses elsart.
Bostan, Alin +4 more
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One-Point Optimal Family of Multiple Root Solvers of Second-Order
Mathematics, 2019 This manuscript contains the development of a one-point family of iterative functions. The family has optimal convergence of a second-order according to the Kung-Traub conjecture.
Deepak Kumar +2 more
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Exploration of multiple roots for a polynomial system [PDF]
2007 2nd International Conference on Digital Information Management, 2007 Several problems from engineering, chemistry, medicine, etc. can be formulated as a system of equations. Finding a solution for such a system sometimes requires high computational efforts. There are situations when these systems have multiple solutions. For such problems, the task is to find as many solutions as possible.
Crina Grosan, Ajith Abraham
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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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
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Multiplicative updates for polynomial root finding [PDF]
Information Processing Letters, 2018 9 pages, 2 ...
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