Two new classes of optimal Jarratt-type fourth-order methods

A variant of Newton's method with accelerated third-order convergence

Sunethra Weerakoon, T.G.I. Fernando · Applied Mathematics Letters · 2000 · 883 citations

Natural Sciences, Mathematics, Differential Equations +9

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

Some variant of Newton’s method with third-order convergence

M. Frontini, E. Sormani · Applied Mathematics and Computation · 2003 · 274 citations

Computing, Computational Engineering, Differential Equations +10

On Newton-type methods with cubic convergence

Herbert H. H. Homeier · Journal of Computational and Applied Mathematics · 2004 · 237 citations

Computing, Computer Science, Mathematics +11

Some efficient fourth order multipoint methods for solving equations

P. Jarratt · BIT Numerical Mathematics · 1969 · 131 citations

Natural Sciences, Mathematics, Differential Equations +4