Polynomial Toolbox: polyBox Version 2.0 by Matthew Harker, Paul O'Leary,

Polanomial approximation, polynomials as admissible functions, a comprehensive tutorial. (polynomials, covariance, convolution)

Demonstrate 2: Constrained Polynomials and Beam Measurements

Demonstrate the Constrained Polynomial Approximation

Example of Constrained Polynomials

Sylvester Matrix by Jos (10584)

SYLVESTER - Sylvester matrix of two polynomials (v3.0, june 2013) (this is not working s..., mathematics, polynomial)

sylvester(P,Q ,MpMq)

Polynomial Curve Fitting by Khaled Sharif

Will fit two sets of data to a polynomial. (curve fitting, simulation, polynomials)

fitting (x,y, max)

polyfit_roots by Amit Hochman

Similar to polyfit, but allows higher degrees by returning the roots of the polynomial. (polynomials, leastsquares, curvefitting)

Polynomial fitting with polyfit_roots

[Q,H]=arnoldi(A,b,k)

polyfit_roots(x, y, N, tol)

Myriapole by Anton

This program computes generalized polarization tensors (GPT's). (generalized polarizat..., contracted gpt, inverse conductivity ...)

GPTGUI(varargin)

boundarydet(acc,IM)

disktensor(order,r,k)

Symbolic polynomials by Levente Hunyadi

Object-oriented symbolic polynomial manipulation in one or more variables (mathematics, symbolic variables, polynomials)

[nodes,weights]=gaussquadrule(n,class,alpha,beta)

latexgreek(s)

merge(a, b)

Zernike Polynomial Coefficients for a given Wavefront using Matrix Inversion in Matlab by Christopher Wilcox

Calculation of Zernike Polynomial Coefficients for a given Wavefront using Matrix Inversion (zernike, polynomials, wavefront)

zernike_coeffs(phi, M)

Polynomial Square Root by Andre Fioravanti

Finds the square root of a polynomial. (linear algebra, mathematics, polynomials)

polysqrt(p)

Routh-Hurwitz stability table for continuous systems by Ismail Delice

It creates Routh-Hurwitz stability table symbolically for a given continuous polynomial coefficients (routhhurwitz, stability, continuous systems)

myRouth(b)

resid2rhit by Bradley

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

resid2rhit(b,a);

CRC code generator by Nawaz Satvilkar

Code generates CRC code for any binary data stream & generator polynomial (crc, coding theory, polynomials)

crc9.m

Euclid's algorithm by Farshad Merrikh bayat

This function do the Euclid's algorithm. (controls, euclid, coprime)

euclid(n,m)

ORTHPOLYFIT, ORTHPOLYVAL by Ingo Löhken

Direct transform of multivariate series to a polynomial domain by the Gaussian quadrature methods. (approximation, interpolation, orthogonal)

Fast Chebyshev Differentiation by Greg von Winckel

Computes the numerical derivative on the Chebyshev grid. (approximation, interpolation, chebyshev)

Dx=fastdiff(x);

Stirling numbers of the first kind by Steven Huang

This c-mex function obtains the Stirling numbers of the first kind. (stirling number, cmex function, coefficients)

Chinese Remainder Theorem for Polynomials by Sundar Krishnan

Verifies the Chinese Remainder Theorem for Polynomials (of "congruence") (linear algebra, chinese remainder the..., polynomials)

[ c_soln_Poly, Gk_Poly, ...

Fast Chebyshev Transform (1D) by Greg von Winckel

Transfroms between nodal and spectral values. (approximation, interpolation, fast)

B=fcgltran(A,direction)

coeffsort by Star Strider

Reformats coeffs output to conform to MATLAB conventions for polynomial expression and evaluation. (symbolic, coeffs, polynomials)

coeffsort(CoefVctr,SymPwrVctr,SortSym)

ortho_poly.m (Chebyshev polynomials) by Balajee Ananthasayanam

Evaluates chebyshev polynomials with vector arguments for vector arguments x. (approximation, chebyshev, vector)

pl=ortho_poly(kf,x,n)

Weighted Grid Points by Greg von Winckel

Computes the Lobatto points for an arbitrary weight. (approximation, interpolation, pseudospectral)

[xg,D]=wgrid(w,N)

Savitzky-Golay Smoothing and Differentiation Filter by Jianwen Luo

Savitzky-Golay smoothing and differentiation filter calculated with the recursive properties ... (filter design, filter analysis, savitzkygolay)

hnstm=sgsdf_gram_poly(n,s,t,m)

Chebyshev Series Product by Greg von Winckel

Computes the product of two Chebyshev expansions. (approximation, interpolation, chebyshev)

c=chebprod(a,b)

Legendre-Pade Approximation by Greg von Winckel

Computes the Legendre Pade approximation to an analytic function. (approximation, interpolation, legendre)

[ahat,bhat]=legendrepade(f,tol)

Chebyshev-Pade Approximation by Greg von Winckel

Computes the rational Chebyshev approximation of a function. (approximation, interpolation, chebyshev)

[ahat,bhat]=chebyshevpade(f,tol)

Legendre Collocation Differentiation by Greg von Winckel

Numerically differentiates functions sampled at the LGL nodes. (differential equation..., spectral, polynomials)

[x,D]=legDc(N);

Chebyshev to Jacobi Conversion by Greg von Winckel

Converts a Chebyshev polynomial expansion to a Jacobi expansion (approximation, interpolation, chebyshev)

jac=cheb2jac(a,b,cheb)

Jacobi to Chebyshev Conversion by Greg von Winckel

Converts a Jacobi polynomial expansion to a Chebyshev expansion. (approximation, interpolation, jacobi)

cheb=jac2cheb(a,b,jac)

Legendre to Chebyshev conversion by Greg von Winckel

Converts Legendre polynomials to Chebyshev polynomials. (approximation, interpolation, chebyshev legendre)

cheb=leg2cheb(leg)

Chebyshev to Legendre conversion by Greg von Winckel

Converts Chebyshev polynomials to Legendre polynomials. (approximation, interpolation, chebyshev legendre)

leg=cheb2leg(cheb)

Legende-Gauss-Lobatto nodes and weights by Greg von Winckel

Computes the Legendre-Gauss-Lobatto weights, nodes and vandermonde matrix. (nodes, lobatto, polynomials)

[x,w,P]=lglnodes(N)

GloptiPoly by Didier Henrion

MATLAB/SeDuMi add-on to build and solve convex LMI relaxations of non-convex global optimization. (optimization, polynomials, global optimization)

gloptipoly(P,order,pars)

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)