Certificate for Orthogonal Equivalence of Real Polynomials by Polynomial-Weighted Principal Component Analysis

Martin Helmer, David Hong, Hoon Hong

Suppose that $f(x)\in \mathbb{R}[x_1,\dots ,x_n]$ and $g(x)\in \mathbb{R}[x_1,\dots ,x_n]$ are two real polynomials of degree $d$ in $n$ variables. If the polynomials $f$ and $g$…