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Keyword

multiple roots

Description: Multiple roots are repeated solutions of a polynomial equation, occurring when a polynomial and its derivative share a root.
Wikidata ID: wiki/Q24040925
OpenAlex ID: keywords/multiple-roots
Iterative Methods for the Solution of Equations.
1967 · D. M. Young, J. F. Traub · American Mathematical Monthly · 2,165
XXV.—On Bernoulli's Numerical Solution of Algebraic Equations
1927 · A. C. Aitken · Proceedings of the Royal Society of Edinburgh · 560
Sur l'équilibre d'une masse fluide animée d'un mouvement de rotation
1885 · H. Poincaré · Acta Mathematica · 526
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On the numerical condition of polynomials in Bernstein form
1987 · R.T. Farouki, V.T. Rajan · Computer Aided Geometric Design · 314
A Multi-Input Modal Estimation Algorithm for Mini-Computers
1982 · Harvard Vold, John Kundrat, et al. · SAE technical papers on CD-ROM/SAE technical paper series · 262
Design, analysis, and implementation of a multiprecision polynomial rootfinder
2000 · Dario Andrea Bini, Giuseppe Fiorentino · Numerical Algorithms · 182
Edge singularities in anisotropic composites
1981 · T.C.T. Ting, S.C. Chou · International Journal of Solids and Structures · 158
Generalizations of the BCH bound
1972 · C.R.P. Hartmann, K.K. Tzeng · Information and Control · 156
Newton's method with deflation for isolated singularities of polynomial systems
2006 · Anton Leykin, Jan Verschelde, et al. · Theoretical Computer Science · 142
Evaluation of the Maximum-Likelihood Estimator where the Likelihood Equation has Multiple Roots
1966 · V. D. BARNETT · Biometrika · 138
Convergence of the newton process to multiple solutions
1966 · L. B. Rall · Numerische Mathematik · 132
Finding Multiple Roots of Nonlinear Equation Systems via a Repulsion-Based Adaptive Differential Evolution
2018 · Wenyin Gong, Yong Wang, et al. · IEEE Transactions on Systems Man and Cybernetics Systems · 129
Constructing higher-order methods for obtaining the multiple roots of nonlinear equations
2011 · Xiaojian Zhou, Xin Chen, et al. · Journal of Computational and Applied Mathematics · 115
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Computing multiple roots of inexact polynomials
2004 · Zhonggang Zeng · Mathematics of Computation · 115
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Some fourth-order nonlinear solvers with closed formulae for multiple roots
2009 · S.G. Li, L.Z. Cheng, et al. · Computers & Mathematics with Applications · 114
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A new fourth-order iterative method for finding multiple roots of nonlinear equations
2009 · Li Shengguo, Liao Xiangke, et al. · Applied Mathematics and Computation · 114
Configurations and deviations of root canals of maxillary first premolars
1973 · E.John Carns, A.E. Skidmore · Oral Surgery Oral Medicine Oral Pathology · 112
Nonlinear Equations Solving with Intelligent Optimization Algorithms: A Survey
2021 · Wenyin Gong, Zuowen Liao, et al. · Complex System Modeling and Simulation · 100
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Modified Jarratt method for computing multiple roots
2010 · Janak Raj Sharma, Rajni Sharma · Applied Mathematics and Computation · 97
A Novel Time Integration Method for Solving A Large System of Non-Linear Algebraic Equations
2008 · Chein Shan Liu, Satya N. Atluri · Computer Modeling in Engineering & Sciences · 96
Effect of the ambipolar potential on stellarator confinement
1983 · H.E. Mynick, W.N.G. Hitchon · Nuclear Fusion · 96
Mixture Models, Robustness, and the Weighted Likelihood Methodology
2000 · Marianthi Markatou · Biometrics · 91
Resource-constrained geometric network optimization
1998 · Esther M. Arkin, Joseph S. B. Mitchell, et al. · 90
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New third order nonlinear solvers for multiple roots
2008 · B. Neta · Applied Mathematics and Computation · 89
A family of multiopoint iterative functions for finding multiple roots of equations
1987 · Chen Dong · International Journal of Computer Mathematics · 89
Works count: 1,924
Citation count: 16,640
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