Three-step iterative methods with eighth-order convergence for solving nonlinear equations

By Weihong Bi, H. Ren, Qingbiao Wu. 2009

101 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4576572310cb9ba73d92801201e26c1894b1810a

Citations in the corpus

• Three-step iterative methods with eighth-order convergence for solving nonlinear equations (2013, unknown): “presented a family of eighth-order convergence methods[1] (see (5) therein), which is given by:  yn = xn − f (xn) f ′ (xn) , zn = yn − 2 f (xn)− f (yn) 2 f (xn)−5 f (yn) f (yn) f ′ (xn) , xn+1 = zn −H(μn) f (zn) f [zn,yn]+ f [zn,xn,xn](zn−yn) , (1.”