MappedTensor class by Dylan Muir

Manages very large tensors of arbitrary dimensions as mapped files on disk; complex support. (matrix, large tensor, mapped file)

MappedTensor

Mandelbrot set, animated zoom by Maxim Vedenyov

output: avi or gif (mandelbrot set, zoom, fractal)

hf=figure1

mandelbrot.m

mandelbrot2.m

Four-Parameter Sinefit by Marko Neitola

Least squares sinusoid fit. Optimization toolbox not needed. Data can be non-uniformly sampled. (complex, sinusoid, fit)

sinefit(varargin)

Complex Function Grapher by Jon Moller

A tool to graph complex functions on the Argand plane (x + iy). (complex, complex function, argand)

compfuncgraph2.m

NROOTS: complex polynomial root finder by Vinesh Rajpaul

NROOTS finds all the roots of real/complex polynomials. Accuracy is better than with ROOTS. (polynomial, roots, polynomial roots)

nroots(p)

Complex fsolve by Leonidas Georgopoulos

Computes numerically complex solutions of a system of equations (complex, imaginary, optimisation)

[cfsol fsol fval exitflag output jacob ]=cfsolve(funhandle,...

Permittivity of Metals at Optical Wavelengths (Brendel-Bormann) by Collin Meierbachtol

Relative complex permittivity of various metals using the Brendel-Bormann method. (palladium, copper, permittivity)

cef(z,N);

cef(z,N);

domain coloring by Ankur Pawar

Visualization of complex function. (domain coloring, complex function, mathematics)

img=coolviz1(func)

img=coolviz2(func)

img=coolviz3(func)

Fast 2D histogram calculation by Amanda

Fast calculation of 2D histogram. Optionally displays surf plot of histogram. (2d, histogram, complex)

hist2d(D, varargin) %Xn, Yn, Xrange, Yrange)

Permittivity of Gold at Optical Wavelength (Brendel-Bormann) by Collin Meierbachtol

Relative complex permittivity of gold over optical wavelengths using the Brendel-Bormann method. (permittivity, complex, gold)

cef(z,N);

cef(z,N);

Non-Redundant Shift-Invariant Complex Wavelet Transform by Reshad Hosseini

2 m-file functions for applying complex wavelet and inverse complex wavelet transforms. (complex wavelet, face recognition, signal processing)

[yout,Sizes]=CWT_downcoef(x,levels,dim)

yout=CWT_upcoef(array_in,Sizes)

example.m

Complex Optimization of a Recurrent Neural Network by Travis Wiens

Shows how to use the complex method to optimize a black-box neural network model of a load-sensing h (fuzzy logic, neural network, complex)

P=W_to_param(W,N_in);

W=params_to_W(P,N_in);

[W]=initializegnn_static(m,n,N_h,overlapfactor)

newtzero by Matt Fig

Finds the root(s) of a function of one variable, including complex roots, using Newton's method. (root finder, newtons method, zeros)

newtzero(f,xr,mx,tol)

Polylogarithm / de Jonquière's function by Willem Ottevanger

Computes the polylogarithm (Li_n) of a complex number z base n (polylogarithm, li_n, de jonquières functio...)

polylog(n,z,acc)

resid2rhit by Bradley

Computes partial fraction expansion by a batch method. (residuem, roots, complex)

resid2rhit(b,a);

Find Numbers in a String by Edward Zechmann

Finds flaoting point numbers in a string including: complex, real, integers, and currency (dollars). (strings, numbers, string)

[nums, matches]=find_nums(str, flag1, decimal_point, comple...

CORDIC for phase and magnitude computation by Krishna Sankar M

Uses the cordic approach to find the phase and magnitude of a complex number (cordic, phrase, magnitude)

script_CORDIC_phase_magnitude.m

linearizor by Yi Cao

A complement tool and tutorial for nonlinear dynamic system linearization (linearization, nonlinear dynamic sys..., state space equation)

[A,B,C,D,dx,y]=linearizor(f,x,u,h)

erfi function by Per Sundqvist

Imaginary error function (could be complex) using matlab's incomplete gamma function gammainc (complex, integral, gaussian)

ans=erfi(x)

Complex step Hessian by Yi Cao

Calculate Hessian using complex step differentiation (hessian, complex, complex step differen...)

[A,g,z]=hessiancsd(fun,x)

Fresnel integral by Bora Ung

Computes the Fresnel integral with complex argument "z" (fresnel, integral, argument)

FresnelI(z, tol)

Gerschgorin's disk Thm (a test) by Summit Suen

plot eigenvalue on complex plane show that all these points located in such circles. (linear algebra, gerschgorin eigenvalu..., test)

testGerschgorin(A)

Taylor series in the complex plane by Alex Barnett

2D plot of complex functions using color wheel, and animates their Taylor series convergence (specialized, plotting, education)

show_zser(a, opt);

taylor.m

Complex scaled complementary error function by Thomas Winiecki

Function computes the complex scaled complementary error function. (faddeeva function, fadeeva function, complex)

W(Z)

exp2text by Vasilis Kapetanidis

Converts exponential format to TeX format for annotating plots (annotation, customization, tex)

numtxt=exp2text(enum,sdig)

Figure out residue of a function of complex variable by Pu Ke

Try to figure out all residues of corresponding singular point (symbolic math, residue, function)

res=myrese(exprz,z)

Confluent hypergeometric function (Kummer function) by Stepan Yanchenko

Computes confluent hypergeometric function 1F1 for complex parameters a, b and complex variable z. (confluent, kummer, function)

[chg]=KummerComplex(a,b,z)

[gr,gi]=cgama(x,y,kf)

Complex Dilogarithm by Didier Clamond

Dilogarithm of any complex numbers (dilog, dilogarithm, complex)

dilog(z)

Generalized Hypergeometric Function by Ben Barrowes

Calculates the Generalized Hypergeometric Function at the desired accuracy. (generalized hypergeom..., magnitudes, complex)

harmonic.m by David Terr

Harmonic(n) is an estimate of the nth harmonic number. (harmonic number, estimate, nth)

harmonic(z)

Polygamma Function of Arbitrary Order Valid Complex Plane by Paul Godfrey

Polygamma function arbitrary order valid in the entire complex plane. (polygamma, psi, complex)

psin(n,z)

roundcfrac.m by David Terr

Computes the "round continued fraction" of a given complex number. (continued fraction, round, complex)

roundcfrac(x,n)

Gamma by Paul Godfrey

Compute a very accurate Gamma function over the entire complex plane. (gamma, function, complex)

gamma(z)

Psi by Paul Godfrey

Compute the psi or digamma function. (psi, digamma, plane)

psi(z)

erfz by Paul Godfrey

Compute the error function for complex inputs. (erf, error, function)

erfz(zz)

csf2rsf by Paul Godfrey

Converts the complex schur form into the real schur form. (linear algebra, schur, form)

csf2rsf(S)

fft_upsample by Ohad Gal

Upsamples a complex series to form time domain interpolation for a fixed spaced grid. (approximation, interpolation, complex)

fft_upsample( in_m,upsample_factor )

uifit by Jean-Michel Rousseau

A GUI which uses fmins matlab core function "fmins" to fit data with any function. (optimization, fmins, fminsearch)

C-Adaptive Equalizer by Muhammad Mumtaz Khokhar

Complex adaptive equalizer. (communications, adaptive, complex)

LMS_Equalizer.m

nrange by Valentin Matache

The routine nrange graphs the numerical range of any square matrix with complex entries. (linear algebra, numerical range, nrange)

nrange(A, P, C, F);

Demonrange.m

resid2wp.m by Bradley Burchett

This file fixes (to a certain degree) the numerical problems with repeated roots in 'residue.m'. (residuem, complex, roots)

resid2wp(u,v,k)