The ability to find the zeros or roots of a function is an essential skill in mathematics as it helps in understanding the behavior of functions, solving equations, and graphing. With the help of a ...

julia> poly_roots(x -> x^4 - 1, Over.C, method=:amvw) # might differ slightly 4-element Array{Complex{Float64},1}: -2.1603591655723396e-16 - 0.9999999999999999im -2.1603591655723396e-16 + ...

SIAM Journal on Numerical Analysis, Vol. 11, No. 6 (Dec., 1974), pp. 1087-1104 (18 pages) A composite algorithm has been designed for finding zeros of real polynomials. The algorithm has proved to be ...

Abstract: A fast and exact neural-network algorithm is proposed to find zeros of polynomials which were not solved by the most other methods. Its convergence rule was presented and proved. The ...

A new algebraic criterion is given for a polynomial φ with complex coefficients to have all its zeros in a certain type of algebraic region T of the complex plane. In particular, T may be any circle ...

This paper considers the problem of how zeros lying on the boundary of a domain influence the norm of polynomials (under the normalization that their value is fixed at a point). It is shown that k ...