solution of an equation

*To*: mathgroup at yoda.physics.unc.edu*Subject*: solution of an equation*From*: (Wassim Matragi) <wassim at ctr.columbia.edu>*Date*: Tue, 31 Aug 93 00:02:40 -0400

Hi, I am trying to solve for the roots of an equation. However I am only interested in roots that lie within a certain region in the complex plain (say the unit circle). I can use the command NSolve, but then this command will return to me all the possible zeros, and not only the ones lying within the unit circle. Since the type of equation I am trying to solve contains a very large number of zeroes outside the unit circle, and very few inside it, I am very interested in finding a way to find the few roots I need without having to determine all the zeros (which is extremely time consuming). I know that FindRoot can find one solution, but I was wondering if anyone knows how I can run it recursively. Thank you .