Complex Root Finding
Find the root of a complex function
fzsolve(fz, z0)
fz |
complex(-analytic) function. |
z0 |
complex point near the assumed root. |
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.
Complex point with sufficiently small function value.
fz <- function(z) sin(z)^2 + sqrt(z) - log(z) fzsolve(fz, 1+1i) # 0.2555197+0.8948303i
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