Variants of Newton’s Method using fifth-order quadrature formulas

Iterative Methods for the Solution of Equations.

David M. Young, J. F. Traub · American Mathematical Monthly · 1967 · 2.2K citations

Natural Sciences, Mathematics, Algorithms +15

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

Some new variants of Newton's method

Ahmet Yaşar Özban · Applied Mathematics Letters · 2004 · 265 citations

Natural Sciences, Mathematics, Algorithms +8

Variants of Newton’s method for functions of several variables

Alicia Cordero, Juan R. Torregrosa · Applied Mathematics and Computation · 2006 · 111 citations

Natural Sciences, Mathematics, Differential Equations +6

Accelerated Convergence in Newton’s Method

Jürgen Gerlach · SIAM Review · 1994 · 90 citations

Computing, Computer Science, Algorithms +15