Mario DeFranco

collaborators

3 papers

math.GM2026

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

Mario DeFranco

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

math.CO2026

On Boolean polynomials and the Union-Closed Conjecture

Mario DeFranco

For a set of $m$ subsets of a universe set of size $n$ , we construct a Boolean polynomial $ICC_{m, n} (X)$ such that the Union-Closed Conjecture is true for this $m$ and $n$ …

math.CO2025

On Generalizations of the Newton-Raphson-Simpson Method

Mario DeFranco

We present generalizations of the Newton-Raphson-Simpson method. Specifically, for a positive integer $m$ and the sequence of coefficients of a Taylor series of a function $f (z)$ ,…

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

On Boolean polynomials and the Union-Closed Conjecture

On Generalizations of the Newton-Raphson-Simpson Method

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