Find complex zeros of a function

This package uses a discretised version of the argument principle to find regions containing zeros of an analytic function.

using Pkg
Pkg.add("FindComplexZeros")

using FindComplexZeros

Find zeros of a function within a given rectangular domain.

Each line of result contains the upper left, lower right corner of the rectangular box that contains the zero

An example:

function an_exp_sum(x)
    return (2+im)*exp((1+im)*x) + (3.5+im)*exp(x) + -im + (2 + 3im)*exp(-x) + (5 - im)*exp((-1+im)*x)
end

findZerosWithSubdivision(-10.2 + 10.22im, 10.1 - 10.1im, an_exp_sum)

Count zeros of a function in a given rectangular domain

An example:

countZeros(-5 + 5im, 5 - 5im, x -> (x - 2)^3*(x-1))

Further documentation can be accessed at the REPL or in IJulia by typing ? followed by the name of the function.

?findZerosWithSubdivision
?countZeros

ComplexPortraits.jl Phase portraits for complex functions (helpful for visualising where the zeros are)