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2D graph for problem in Numerical Analysis

  • To: mathgroup at
  • Subject: [mg26180] 2D graph for problem in Numerical Analysis
  • From: "Costas" <costasga at>
  • Date: Thu, 30 Nov 2000 01:04:20 -0500 (EST)
  • Organization: National Technical University of Athens, Greece
  • Sender: owner-wri-mathgroup at

I have made a program that computes the complex solutions of a polynomial
equation using the Newton - Raphson method. This program receives as input a
starting point z0=x0+Iy0 in order to find each solution. This procedure is
repeated for each point of a N by N grid ([-N,N]X[-N,N]). The result is that
for some starting points the method converges to one solution and for others
converges to another solution, while for some points the method diverges. My
question is the following: Is there a way to plot a graph in which each
point of the grid will be colored according to whether they lead to
convergence or divergence and according to the speed of convergence. Does
anyone know of a way to achieve this by using Mathematica, another
mathematical package or some other custom program?? Any suggestions
Thank you very much for your help!!

Costas Gavardinas
Electrical & Computer Engineer
National Technical University
Athens Greece

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