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Complex root finding

• To: mathgroup at smc.vnet.net
• Subject: [mg39233] Complex root finding
• From: "Alan Lewis" <alanlewis at optioncity.net>
• Date: Tue, 4 Feb 2003 02:23:55 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

I have a complex-valued function f(z).
If z = x + I y, suppose f(z) has a finite number of simple zeros
in the rectangle   a < x < b,  c < y < d. (and no poles).

I can start FindRoot somewhere and it will likely find a root.
But, my question is:
is there a (best?) systematic way to use Mathematica to find
all the roots in the region?

• Follow-Ups:
  • Re: Complex root finding
    • From: Daniel Lichtblau <danl@wolfram.com>