Young Hee Geum

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All published works

Action	Title	Year	Authors
+ PDF Chat	On a Parameter-controlled Method for Multiple Zeros	2024	Young Hee Geum
+ PDF Chat	On a Sixth-order Solver for Multiple Roots of Nonlinear Equations	2024	Young Hee Geum
+ PDF Chat	On Constructing a Family of Sixth-Order Methods for Multiple Roots	2023	Young Hee Geum
+ PDF Chat	Study on the Dynamical Analysis of a Family of Optimal Third Order Multiple-zero Finder	2023	Young Hee Geum
+ PDF Chat	A Family of Optimal Cubic-Order Multiple-root Solvers and Their Dynamics	2023	Hwajoon Kim Arjun K. Rathie Young Hee Geum
+	Derivation of a Numerical Method with Free Second-order Derivatives	2022	Young Hee Geum
+ PDF Chat	A Note on Certain Laplace Transforms of Convolution-Type Integrals Involving Product of Two Generalized Hypergeometric Functions	2021	Arjun K. Rathie Young Hee Geum Hwajoon Kim
+ PDF Chat	Long-term orbit dynamics viewed through the yellow main component in the parameter space of a family of optimal fourth-order multiple-root finders	2020	Young Hee Geum Young Ik Kim
+ PDF Chat	On Locating and Counting Satellite Components Born along the Stability Circle in the Parameter Space for a Family of Jarratt-Like Iterative Methods	2019	Young Hee Geum Young Ik Kim
+ PDF Chat	Developing an Optimal Class of Generic Sixteenth-Order Simple-Root Finders and Investigating Their Dynamics	2018	Young Hee Geum Young Ik Kim Beny Neta
+	A study of dynamics via Möbius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions	2018	Young Hee Geum Young Ik Kim Á. Alberto Magreñán
+ PDF Chat	Dynamical Analysis via Möbius Conjugacy Map on a Uniparametric Family of Optimal Fourth-Order Multiple-Zero Solvers with Rational Weight Functions	2018	Young Ik Kim Young Hee Geum
+	Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points	2017	Young Hee Geum Young Ik Kim Beny Neta
+	Dynamical behavior for optimal cubic-order multiple solver	2016	Young Hee Geum
+	A family of optimal quartic-order multiple-zero finders with a weight function of the principal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si52.gif" display="inline" overflow="scroll"><mml:mi>k</mml:mi></mml:math>th root of a derivative-to-derivative ratio and their basins of attraction	2016	Young Hee Geum Young Ik Kim Beny Neta
+	Basins of Attraction for Quartic-Order Methods	2016	Young Hee Geum
+ PDF Chat	A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points	2016	Young Hee Geum Young Ik Kim Beny Neta
+	A biparametric extension of King’s fourth-order methods and their dynamics	2016	Young Hee Geum Young Ik Kim Á. Alberto Magreñán
+ PDF Chat	A Triparametric Family of Optimal Fourth-Order Multiple-Root Finders and Their Dynamics	2016	Young Ik Kim Young Hee Geum
+	Basins of attraction for optimal third order methods for multiple roots	2016	Young Hee Geum
+ PDF Chat	A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics	2015	Young Hee Geum Young Ik Kim Beny Neta
+ PDF Chat	On developing a higher-order family of double-Newton methods with a bivariate weighting function	2015	Young Hee Geum Young Ik Kim Beny Neta
+ PDF Chat	On Constructing Two-Point Optimal Fourth-Order Multiple-Root Finders with a Generic Error Corrector and Illustrating Their Dynamics	2015	Young Ik Kim Young Hee Geum
+	Development of a family of optimal quartic-order methods for multiple roots and their dynamics	2015	Young Hee Geum
+	On Constructing a Cubically Convergent Numerical Method for Multiple Roots	2014	Young Hee Geum
+ PDF Chat	A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders	2014	Young Ik Kim Young Hee Geum
+	An Optimal Family of Fast 16th-Order Derivative-Free Multipoint Simple-Root Finders for Nonlinear Equations	2013	Young Hee Geum Young Ik Kim
+ PDF Chat	A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros	2013	Young Ik Kim Young Hee Geum
+	A cubic-order variant of Newton’s method for finding multiple roots of nonlinear equations	2011	Young Ik Kim Young Hee Geum
+	A family of optimal sixteenth-order multipoint methods with a linear fraction plus a trivariate polynomial as the fourth-step weighting function	2011	Young Hee Geum Young Ik Kim
+	A biparametric family of four-step sixteenth-order root-finding methods with the optimal efficiency index	2011	Young Hee Geum Young Ik Kim
+	A biparametric family of optimally convergent sixteenth-order multipoint methods with their fourth-step weighting function as a sum of a rational and a generic two-variable function	2011	Young Hee Geum Young Ik Kim
+	A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots	2011	Young Hee Geum Young Ik Kim
+	A biparametric family of eighth-order methods with their third-step weighting function decomposed into a one-variable linear fraction and a two-variable generic function	2011	Young Hee Geum Young Ik Kim
+	A NOTE ON THE PAPER TITLED SOME VARIANTS OF OSTROWSKI'S METHOD WITH SEVENTH-ORDER CONVERGENCE	2011	Young Hee Geum
+	A penta-parametric family of fifteenth-order multipoint methods for nonlinear equations	2010	Young Hee Geum Young Ik Kim
+	A multi-parameter family of three-step eighth-order iterative methods locating a simple root	2009	Young Hee Geum Young Ik Kim
+	Cubic convergence of parameter-controlled Newton-secant method for multiple zeros	2009	Young Hee Geum Young Ik Kim
+	A boundary equation of the principal period-2 component in the degree-nbifurcation set	2008	Young Hee Geum Young Ik Kim Hae Chull Lim
+	On the analysis and construction of the butterfly curve usingMathematica®	2008	Young Hee Geum Young Ik Kim
+	The asymptotic error constant of leap-frogging Newton’s method locating a simple real zero	2007	Young Hee Geum
+	A FAST CONSTRUCTION OF GENERALIZED MANDELBROT SETS USING MAIN COMPONENTS WITH EPICYCLOIDAL BOUNDARIES	2007	Young Hee Geum Kang Sup Lee Young Ik Kim
+	Locating and counting bifurcation points of satellite components from the main component in the degree-n bifurcation set	2006	Young Hee Geum Young Ik Kim
+	High-order convergence of the k-fold pseudo-Newton’s irrational method locating a simple real zero	2006	Young Hee Geum Young Ik Kim Min Surp Rhee
+	Accurate computation of component centers in the degree-n bifurcation set	2004	Young Hee Geum Young Ik Kim
+	An epicycloidal boundary of the main component in the degree-n bifurcation set	2004	Young Hee Geum Young Ik Kim
+	A Study On Computation Of Component Centers In The Degree- n Bifurcation Set	2003	Young Hee Geum Young Ik Kim
+	An improved computation of component centers in the degree-n bifurcation set	2002	Young Hee Geum Young Ik Kim

Common Coauthors

Coauthor	Papers Together
Young Ik Kim	33
Beny Neta	6
Á. Alberto Magreñàn	2
Arjun K. Rathie	2
Hwajoon Kim	2
Kang Sup Lee	1
Hae Chull Lim	1
Min Surp Rhee	1
Young Ik Kim	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Iterative Methods for the Solution of Equations.	1967	David M. Young J. F. Traub	26
+ PDF Chat	Optimal Order of One-Point and Multipoint Iteration	1974	H. T. Kung J. F. Traub	25
+	The Mathematica book	1996	Stephen Wolfram	18
+ PDF Chat	Basins of attraction for several optimal fourth order methods for multiple roots	2014	Beny Neta Changbum Chun	15
+ PDF Chat	A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros	2013	Young Ik Kim Young Hee Geum	12
+	Complex dynamics of derivative-free methods for nonlinear equations	2013	Francisco I. Chicharro Alicia Cordero J.M. Gutiérrez Juan R. Torregrosa	12
+ PDF Chat	Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane	2014	Á. Alberto Magreñán Alicia Cordero J.M. Gutiérrez Juan R. Torregrosa	12
+	On the convergence of an optimal fourth-order family of methods and its dynamics	2014	Ioannis K. Argyros Á. Alberto Magreñán	11
+	Chaos in King’s iterative family	2013	Alicia Cordero Javier G. Maimó Juan R. Torregrosa María P. Vassileva P. Vindel	11
+	Cubic convergence of parameter-controlled Newton-secant method for multiple zeros	2009	Young Hee Geum Young Ik Kim	10
+	Iteration of Rational Functions	1991	Robert L. Devaney Alan F. Beardon	10
+ PDF Chat	On developing fourth-order optimal families of methods for multiple roots and their dynamics	2015	Ramandeep Behl Alicia Cordero S. S. Motsa Juan R. Torregrosa	10
+ PDF Chat	Basin attractors for various methods for multiple roots	2011	Beny Neta Melvin R. Scott Changbum Chun	10
+ PDF Chat	Introduction to Complex Analysis Part II. Functions of Several Variables	1992	B. Shabat	10
+	Some fourth-order nonlinear solvers with closed formulae for multiple roots	2009	Siwei Li Lizhi Cheng Beny Neta	10
+	New optimal class of higher-order methods for multiple roots, permitting f′(xn)=0	2013	V. Kanwar Saurabh Bhatia Munish Kansal	9
+ PDF Chat	Basins of attraction for several methods to find simple roots of nonlinear equations	2012	Beny Neta Melvin R. Scott Changbum Chun	9
+	Dynamics of the King and Jarratt iterations	2005	Sergio Amat Sonia Busquier Sergio Plaza	9
+	A new family of eighth-order iterative methods for solving nonlinear equations	2009	Weihong Bi Qingbiao Wu Hongmin Ren	9
+	Different anomalies in a Jarratt family of iterative root-finding methods	2014	Á. Alberto Magreñán	9
+ PDF Chat	Basins of attraction for Zhou–Chen–Song fourth order family of methods for multiple roots	2014	Changbum Chun Beny Neta	8
+	Elementary Numerical Analysis.	1994	W. G. Kendall Atkinson	8
+	Review of some iterative root-finding methods from a dynamical point of view	2004	Sergio Amat Sonia Busquier Sergio Plaza	8
+ PDF Chat	On optimal fourth-order iterative methods free from second derivative and their dynamics	2012	Changbum Chun Mi Young Lee Beny Neta Jovana Džunić	8
+ PDF Chat	<i>An Introduction to Chaotic Dynamical Systems</i>	1987	Robert L. Devaney Jean-Pierre Eckmann	8
+ PDF Chat	ON JARRATT'S FAMILY OF OPTIMAL FOURTH-ORDER ITERATIVE METHODS AND THEIR DYNAMICS	2014	Changbum Chun Beny Neta Sujin Kim	7
+	A family of multiopoint iterative functions for finding multiple roots of equations	1987	Chen Dong	7
+	Computing multiple zeros using a class of quartically convergent methods	2013	Fazlollah Soleymani D.K.R. Babajee	7
+	Constructing higher-order methods for obtaining the multiple roots of nonlinear equations	2011	Xiaojian Zhou Xin Chen Yongzhong Song	7
+	None	2003	Bahman Kalantari Yi Jin	7
+ PDF Chat	Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations	2013	Beny Neta Changbum Chun Melvin R. Scott	7
+	Three-step iterative methods with eighth-order convergence for solving nonlinear equations	2008	Weihong Bi Hongmin Ren Qingbiao Wu	7
+	Multipoint Methods for Solving Nonlinear Equations	2012	Miodrag S. Petković Beny Neta Ljiljana D. Petković Jovana Džunić	7
+	Extraneous fixed points, basin boundaries and chaotic dynamics for Schr�der and K�nig rational iteration functions	1987	Edward R. Vrscay William J. Gilbert	7
+	A Family of Fourth Order Methods for Nonlinear Equations	1973	Richard F. King	7
+	Convergence of the newton process to multiple solutions	1966	L. B. Rall	7
+ PDF Chat	A class of optimal eighth-order derivative-free methods for solving the Danchick–Gauss problem	2014	Carlos Andreu Noelia Cambil Alicia Cordero Juan R. Torregrosa	6
+ PDF Chat	Extension of Murakami's high-order non-linear solver to multiple roots	2008	Beny Neta	6
+ PDF Chat	Choosing weight functions in iterative methods for simple roots	2013	Changbum Chun Beny Neta Jeremy E. Kozdon Melvin R. Scott	6
+ PDF Chat	Some fourth order multipoint iterative methods for solving equations	1966	P. Jarratt	6
+	Eighth-order methods with high efficiency index for solving nonlinear equations	2009	Liping Liu Xia Wang	6
+	Dynamics of a family of third-order iterative methods that do not require using second derivatives	2003	Sergio Amat Sonia Busquier Sergio Plaza	6
+ PDF Chat	Basin attractors for various methods	2011	Melvin R. Scott Beny Neta Changbum Chun	6
+	A new fourth-order iterative method for finding multiple roots of nonlinear equations	2009	Shengguo Li Xiangke Liao Cheng Li-zhi	6
+	High-order nonlinear solver for multiple roots	2007	Beny Neta Anthony N. Johnson	6
+	HANSEN-PATRICK'S FAMILY IS OF LAGUERRE'S TYPE	2003	Ljiljana D. Petković Stanko Petković	5
+	A multi-parameter family of three-step eighth-order iterative methods locating a simple root	2009	Young Hee Geum Young Ik Kim	5
+ PDF Chat	The quasi-Laguerre iteration	1997	Qiang Du Ming Jin Taiyong Li Zhonggang Zeng	5
+ PDF Chat	Leap-frogging Newton's method	2002	A. Bathi Kasturiarachi	5
+	On some modified families of multipoint iterative methods for multiple roots of nonlinear equations	2012	Sanjeev Kumar V. Kanwar Sukhjit Singh	5