A Study on Computation of Component Centers in the Degree-n Bifurcation Set. - Young Hee Geum; Young Ik Kim (Int. J. Comput. Math., 2003)

High-order convergence of the k-fold pseudo-Newton's irrational method locating a simple real zero. - Young Hee Geum; Young Ik Kim; Min Surp Rhee (Appl. Math. Comput., 2006)

A boundary equation of the principal period-2 component in the degree-n bifurcation set. - Young Hee Geum; Young Ik Kim; Hae Chull Lim (Int. J. Comput. Math., 2009)

Cubic convergence of parameter-controlled Newton-secant method for multiple zeros. - Young Hee Geum; Young Ik Kim (J. Comput. Appl. Math., 2009)

A multi-parameter family of three-step eighth-order iterative methods locating a simple root. - Young Hee Geum; Young Ik Kim (Appl. Math. Comput., 2010)

A penta-parametric family of fifteenth-order multipoint methods for nonlinear equations. - Young Hee Geum; Young Ik Kim (Appl. Math. Comput., 2010)

A new two-step biparametric family of sixth-order iterative methods free from second derivatives for solving nonlinear algebraic equations. - Young Ik Kim (Appl. Math. Comput., 2010)

A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots. - Young Hee Geum; Young Ik Kim (Appl. Math. Lett., 2011)

A biparametric family of four-step sixteenth-order root-finding methods with the optimal efficiency index. - Young Hee Geum; Young Ik Kim (Appl. Math. Lett., 2011)

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. - Young Hee Geum; Young Ik Kim (Comput. Math. Appl., 2011)

A family of optimal sixteenth-order multipoint methods with a linear fraction plus a trivariate polynomial as the fourth-step weighting function. - Young Hee Geum; Young Ik Kim (Comput. Math. Appl., 2011)

A cubic-order variant of Newton's method for finding multiple roots of nonlinear equations. - Young Ik Kim; Young Hee Geum (Comput. Math. Appl., 2011)

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. - Young Hee Geum; Young Ik Kim (J. Comput. Appl. Math., 2011)

A triparametric family of three-step optimal eighth-order methods for solving nonlinear equations. - Young Ik Kim (Int. J. Comput. Math., 2012)

A family of fast derivative-free fourth-order multipoint optimal methods for nonlinear equations. - Min-Young Lee; Young Ik Kim (Int. J. Comput. Math., 2012)

A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros. - Young Ik Kim; Young Hee Geum (J. Appl. Math., 2013)

A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders. - Young Ik Kim; Young Hee Geum (J. Appl. Math., 2014)

An Optimal Family of Fast 16th-Order Derivative-Free Multipoint Simple-Root Finders for Nonlinear Equations. - Young Hee Geum; Young Ik Kim (J. Optim. Theory Appl., 2014)

On developing a higher-order family of double-Newton methods with a bivariate weighting function. - Young Hee Geum; Young Ik Kim; Beny Neta (Appl. Math. Comput., 2015)

A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics. - Young Hee Geum; Young Ik Kim; Beny Neta (Appl. Math. Comput., 2015)

A biparametric extension of King's fourth-order methods and their dynamics. - Young Hee Geum; Young Ik Kim; Ángel Alberto Magreñán (Appl. Math. Comput., 2016)

A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points. - Young Hee Geum; Young Ik Kim; Beny Neta (Appl. Math. Comput., 2016)

Higher-order efficient class of Chebyshev-Halley type methods. - Young Ik Kim; Ramandeep Behl; Sandile Sydney Motsa (Appl. Math. Comput., 2016)

On the dynamics of a triparametric family of optimal fourth-order multiple-zero finders with a weight function of the principal mth root of a function-to function ratio. - Min-Young Lee; Young Ik Kim; Ángel Alberto Magreñán (Appl. Math. Comput., 2017)

An optimal family of eighth-order simple-root finders with weight functions dependent on function-to-function ratios and their dynamics underlying extraneous fixed points. - Sang Deok Lee; Young Ik Kim; Beny Neta (J. Comput. Appl. Math., 2017)

A family of optimal quartic-order multiple-zero finders with a weight function of the principal kth root of a derivative-to-derivative ratio and their basins of attraction. - Young Hee Geum; Young Ik Kim; Beny Neta (Math. Comput. Simul., 2017)

An Optimal family of Eighth-order iterative Methods with an inverse interpolatory rational function error corrector for nonlinear equations. - Young Ik Kim; Ramandeep Behl; Sandile Sydney Motsa (Math. Model. Anal., 2017)

An optimal eighth-order class of three-step weighted Newton's methods and their dynamics behind the purely imaginary extraneous fixed points. - Min Surp Rhee; Young Ik Kim; Beny Neta (Int. J. Comput. Math., 2018)

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. - Young Hee Geum; Young Ik Kim; Ángel Alberto Magreñán (J. Comput. Appl. Math., 2018)

Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points. - Young Hee Geum; Young Ik Kim; Beny Neta (J. Comput. Appl. Math., 2018)

Higher-order families of Multiple root Finding Methods Suitable for non-convergent Cases and their dynamics. - Ramandeep Behl; Vinay Kanwar; Young Ik Kim (Math. Model. Anal., 2019)

Development of a Family of Jarratt-Like Sixth-Order Iterative Methods for Solving Nonlinear Systems with Their Basins of Attraction. - Min-Young Lee; Young Ik Kim (Algorithms, 2020)

The dynamical analysis of a uniparametric family of three-point optimal eighth-order multiple-root finders under the Möbius conjugacy map on the Riemann sphere. - Min-Young Lee; Young Ik Kim (Numer. Algorithms, 2020)