A family of optimal sixteenth-order multipoint methods with a linear fraction plus a trivariate polynomial as the fourth-step weighting function

A biparametric family of optimally conve

A biparametric family of optimally convergent sixteenth-order multipoint methods with their fourth-step weighting function as a sum of a rational and a generic two-variable function

✍ Young Hee Geum; Young Ik Kim 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 277 KB

A biparametric family of four-step multipoint iterative methods of order sixteen to numerically solve nonlinear equations are developed and their convergence properties are investigated. The efficiency indices of these methods are all found to be 16 1/5 ≈ 1.741101, being optimally consistent with th