Iterative methods improving newton's method by the decomposition method

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

Decomposition methods: A new proof of convergence

Y. Cherruault, G. Adomian · Mathematical and Computer Modelling · 1993 · 458 citations

Computing, Computer Science, Algorithms +12

Improving Newton–Raphson method for nonlinear equations by modified Adomian decomposition method

S. Abbasbandy · Applied Mathematics and Computation · 2003 · 371 citations

Natural Sciences, Mathematics, Computational Mechanics +9

New ideas for proving convergence of decomposition methods

K. Abbaoui, Y. Cherruault · Computers & Mathematics with Applications · 1995 · 355 citations

Computing, Computer Science, Algorithms +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