Pseudo-zero set

In complex analysis (a branch of mathematical 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 those of p by a small amount. Namely, given a norm Template:Abs on the space ${\mathbb{ℂ}}^{m+1}$ of polynomial coefficients, the pseudo-zero set is the set of all zeros of all degree-m polynomials q such that Template:Abs (as vectors of coefficients) is less than a given ε.

See also

• List of complex analysis topics
• Timeline of calculus and mathematical analysis

References

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