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scripts default iconcomplexzeros (Scripts) Publisher's description

This workspace employs interactive graphics and Muller's method

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.
The principal references for this work are:
'Elementary Numerical Analysis' by S.D. Conte and Carl de Boor
'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
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

System Requirements:

MATLAB 7.5 (R2007b)
Program Release Status: New Release
Program Install Support: Install and Uninstall

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