Accurate fourteenth-order methods for solving nonlinear equations

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

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 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

On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency

Miodrag S. Petković · SIAM Journal on Numerical Analysis · 2010 · 102 citations

Computing, Computer Science, Algorithms +14