A note on the local convergence of iterative methods based on Adomian decomposition method and 3-node quadrature rule

Iterative solution of nonlinear equations

R. D. Murphy · Journal of Computers in Mathematics and Science Teaching archive · 1994 · 1.2K citations

Numerical Analysis, Nonlinear Equations, Nonlinear Equation +2

A family of Chebyshev-Halley type methods in Banach spaces

J.M. Gutiérrez, M.A. Hernández · Bulletin of the Australian Mathematical Society · 1997 · 251 citations · Full text

Numerical Analysis, Banach Spaces, Engineering +7

A third-order Newton-type method to solve systems of nonlinear equations

M.T. Darvishi, Ali Barati · Applied Mathematics and Computation · 2006 · 195 citations

Numerical Analysis, Numerical Computation, Engineering +6

Third-order methods from quadrature formulae for solving systems of nonlinear equations

M. Frontini, E. Sormani · Applied Mathematics and Computation · 2003 · 189 citations

Numerical Analysis, Third-order Methods, Numerical Computation +8

A fourth-order method from quadrature formulae to solve systems of nonlinear equations

M.T. Darvishi, Ali Barati · Applied Mathematics and Computation · 2006 · 102 citations

Numerical Analysis, Reduced Order Modeling, Numerical Computation +8