Complex Root Finding

Find the root of a complex function

fzsolve(fz, z0)

Arguments

fz

complex(-analytic) function.

z0

complex point near the assumed root.

Details

fzsolve tries to find the root of the complex and relatively smooth (i.e., analytic) function near a starting point.

The function is considered as real function R^2 --> R^2 and the newtonsys function is applied.

Value

Complex point with sufficiently small function value.

See also

newtonsys

Examples

fz <- function(z) sin(z)^2 + sqrt(z) - log(z)
fzsolve(fz, 1+1i)
#> [1] 0.2555197+0.8948303i
# 0.2555197+0.8948303i