readme.m

%        DOCUMENTATION FOR WORKSPACE COMPLEXZEROS
% This workspace employs interactive graphics and Muller's method
% to compute function roots in a rectangular region of the complex
% plane. Function interact employs surface and contour plots of
% -log(abs(function(z))) to locate function roots which are read
% interactively with the graphics cursor and then corrected by 
% function muller which computes one or several roots at a time.
% Ten examples involving various special functions are presented.
% Principal references for this work are:
% 'Elementary Numerical Analysis' by S.D. Conte and Carl de Boor
% and
% 'Handbook of Mathematical Functions' by Milton Abramowitz and
% Irene A. Stegun
%
% The following functions and files are included:
% interact.m      - interactive driver program using graphics and
%                   function muller to compute roots in a user
%                   chosen region of the complex plane
% muller.m        - a function based on Muller's method employing
%                   quadratic interpolation and deflation to compute
%                   one or several roots of a general complex valued
%                   function
% erfs.m          - Error function of complex argument
% gammac.m        - Gamma function of complex argument
% fresnels.m      - Fresnel sine integral of complex argument
% fresenlc.m      - Fresnel cosine integral of complex argument
% zetac.m         - Riemann zeta function of complex argument 
% runexamples.m   - a script file which analyzes ten examples
%                   dealing with various special functions
% examplesout.txt - a listing of the printed output produced 
%                   from runexamples
% examples.mat    - a file containing the numerical results 
%                   produced from runexamples
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