complexzeros 1.0

Date Added: May 06, 2013 | Visits: 384

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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 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

Requirements: No special requirements

Platforms: Matlab

Keyword: Argument, Deflation, Employing, Erfsm, Error, Gammacm, General, Interpolation, Quadratic, Valued

Users rating: 0/10

License: Shareware

Size: 20.48 KB

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