Re: Complex root finding
- To: mathgroup at smc.vnet.net
- Subject: [mg39238] Re: [mg39233] Complex root finding
- From: Daniel Lichtblau <danl at wolfram.com>
- Date: Wed, 5 Feb 2003 00:11:13 -0500 (EST)
- References: <200302040723.CAA24663@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Alan Lewis wrote: > > 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? A method using the Cauchy integral formula for finding roots on a segment may be found at http://forums.wolfram.com/mathgroup/archive/2001/Jun/msg00444.html It is not hard to modify this technique to work with a rectangle. Daniel Lichtblau Wolfram Research
- References:
- Complex root finding
- From: "Alan Lewis" <alanlewis@optioncity.net>
- Complex root finding