nrfrac

Newton-Raphson Pathology

Description

%Renders the areas of convergence of the Newton-Raphson
%method for root finding, applied to equation z^3-1=0
%in the complex plane .
%[xrngl,xrngr]- "x" boundaries
%[yrngb,yrngu]- "y" boundaries
%res - "resolution". Warning! Don`t try very small values.
%n - number of iterations
%this function returns "Pctr"-image matrix. Don`t forget to type ";"

• Acknowledgements: This submission has inspired the following:; Polynomiography of Newton method for one parameter cubic polynomial
• MATLAB release: MATLAB 5.3 (R11)

[Dmitriy Likhachev]

Very nice!

[Garner Izru]

Great!

[John D'Errico]

Very pretty picture, but of what? The result begs
documentation. Yes, I could guess. I also had to guess at
what might be reasonable values for the arguments. My
first guesses produced a figure so small that it was lost on
the screen, leaving me with the debugger to figure out if it
worked at all. Good help with an example of its usage
and/or default values for the parameters would have
rated this code a 5.

[Pctr] = nrfrac(-1,1,-1,1,.005,50);

[Diyashvir Kreetee Rajiv Babajee]

Good work. Of a big help to me.

[Diyashvir Kreetee Rajiv Babajee]