Multi-point variants of the Newton-Raphson-Simpson method arising from organizing a formal zero according to a function $\varphi$

Mario DeFranco

Fix an integer $L\ge 1$, and a function $\varphi :{\mathbb{Z}}_{\ge 1}\to [0,L]\cap \mathbb{Z}$ with ${\varphi }^{-1}(\{0\})=\{1\}$. We define a multi-point variant of the Newt…