Improved King’s methods with optimal order of convergence based on rational approximations

Optimal Order of One-Point and Multipoint Iteration

H. T. Kung, J. F. Traub · Journal of the ACM · 1974 · 750 citations · Full text

Computing, Computer Science, Mathematics +11

A Family of Fourth Order Methods for Nonlinear Equations

Richard F. King · SIAM Journal on Numerical Analysis · 1973 · 377 citations

Natural Sciences, Mathematics, Computational Mechanics +11

Three-step iterative methods with eighth-order convergence for solving nonlinear equations

Weihong Bi, Hongmin Ren, Qingbiao Wu · Journal of Computational and Applied Mathematics · 2008 · 180 citations

Computing, Computer Science, Algorithms +10

Eighth-order methods with high efficiency index for solving nonlinear equations

Liping Liu, Xia Wang · Applied Mathematics and Computation · 2009 · 119 citations

Natural Sciences, Mathematics, Differential Equations +8

A new family of modified Ostrowski’s methods with accelerated eighth order convergence

Janak Raj Sharma, Rajni Sharma · Numerical Algorithms · 2009 · 116 citations

Computing, Physics, Finite Element Methods +11