# Pseudo-zero set

In complex analysis, the pseudo-zero set or root neighborhood of a degree-m polynomial p(z) is the set of all complex numbers that are roots of polynomials whose coefficients differ from p's by a small amount. Namely, given a norm |·| on $\mathbb{C}^{m+1}$, the pseudo-zero set is the set of all zeros of degree-m polynomials q such that |p-q| (as vectors) is less than a given ε.
• Graillat, Stef (2005). "Pseudozero Set of Multivariate Polynomials" (PDF). Computer Algebra in Scientific Computing: 8th International Workshop, CASC 2005, Kalamata, Greece, September 12–16, 2005, Proceedings (Lecture Notes in Computer Science). http://www.cargo.wlu.ca/casc2005/ `|conferenceurl=` missing title (help). Springer.