Keyword

Halley's method

Description: Halley's method is an iterative numerical algorithm for finding roots of equations, commonly studied in numerical analysis and dynamical systems.

Primary topic: Iterative Methods for Nonlinear Equations (65%)

Wikidata ID: wiki/Q1476051

OpenAlex ID: keywords/halley-s-method

Iterative Methods for the Solution of Equations.

1967 · D. M. Young, J. F. Traub · American Mathematical Monthly · 2,165

A family of root finding methods

1976 · Eldon Hansen, Merrell Patrick · Numerische Mathematik · 234

Basin attractors for various methods

2011 · Melvin Scott, Beny Neta, et al. · Applied Mathematics and Computation · 184

On Halley's Iteration Method

1985 · Walter Gander · American Mathematical Monthly · 176

Rational Iterative Methods for the Matrix Sign Function

1991 · Charles Kenney, Alan J. Laub · SIAM Journal on Matrix Analysis and Applications · 150

On the Geometry of Halley's Method

1995 · T. R. Scavo, J. B. Thoo · American Mathematical Monthly · 143

Polynomial Root-Finding and Polynomiography

2008 · Bahman Kalantari · WORLD SCIENTIFIC eBooks · 91

On the Convergence of Halley's Method

1981 · G. Alefeld · American Mathematical Monthly · 91

Classroom Note:Geometry and Convergence of Euler's and Halley's Methods

1997 · A. Melman · SIAM Review · 81

Recurrence relations for a Newton-like method in Banach spaces

2006 · P.K. Parida, D.K. Gupta · Journal of Computational and Applied Mathematics · 76

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On new iterative method for solving systems of nonlinear equations

2009 · Fadi Awawdeh · Numerical Algorithms · 72

A method solving kepler's equation without transcendental function evaluations

1997 · Toshio Fukushima · Celestial Mechanics and Dynamical Astronomy · 66

Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method

2001 · Kyle Kneisl · Chaos An Interdisciplinary Journal of Nonlinear Science · 65

Predictor–corrector Halley method for nonlinear equations

2006 · Khalida Inayat Noor, Muhammad Aslam Noor · Applied Mathematics and Computation · 57

Transformation from Cartesian to Geodetic Coordinates Accelerated by Halley’s Method

2006 · Toshio Fukushima · Journal of Geodesy · 53

A note on Halley's method

1991 · Miguel A. Hern�ndez Ver�n · Numerische Mathematik · 49

The Newton and Halley Methods for Complex Roots

1998 · Lily Yau, Adi Ben-Israel · American Mathematical Monthly · 48

A basic family of iteration functions for polynomial root finding and its characterizations

1997 · Bahman Kalantari, Iraj Kalantari, et al. · Journal of Computational and Applied Mathematics · 47

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Fast and Robust Inverse Kinematics of Serial Robots Using Halley’s Method

2022 · Steffan Lloyd, Rishad A. Irani, et al. · IEEE Transactions on Robotics · 43

Advanced Iterative Procedures for Solving the Implicit Colebrook Equation for Fluid Flow Friction

2018 · Pavel Praks, Dejan Brkić · Advances in Civil Engineering · 42

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Calculation of the rightmost characteristic root of retarded time-delay systems via Lambert W function

2008 · Z.H. Wang, H.Y. Hu · Journal of Sound and Vibration · 42

On Newton’s method and Halley’s method for the principal p th root of a matrix

2009 · Chun-Hua Guo · Linear Algebra and its Applications · 39

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Fifth-order iterative methods for solving nonlinear equations

2006 · Muhammad Aslam Noor, Khalida Inayat Noor · Applied Mathematics and Computation · 39

Modified Halley’s method free from second derivative

2006 · Jisheng Kou, Yitian Li, et al. · Applied Mathematics and Computation · 38

On Halley's Variation of Newton's Method

1977 · George H. Brown · American Mathematical Monthly · 37

Works count: 393

Citation count: 5,521