Polynomial

The code implements the so called Faddeev-Leverrier algorithm to compute the coefficients of the characteristic polynomial of a given matrix and to get the inverse of the matrix without extra cost.

Determinantal matrix representations of hyperbolic polynomials are a current topic of interest and research among those working with LMI's (Linear Matrix Inequalities) and SDP (semi-definite programming). This toolbox was used to demonstrate some of the theorems presented in the author's Ph.D....

Given the coefficients of the characteristic polynomial the Routh-Hurwitz array is created and printed. Additionally, this method shows some results from the array relating to the stability of the system.


Platforms: Matlab

RA=ROUTH(R,EPSILON) returns the symbolic Routh array RA for polynomial. The following special cases are considered:1) If the first element of a row becomes zero OR2) If one encounters a row full of zeros.>>syms ep>>a=routh([1 1 2 2 3 5],ep)The above given case is for encountering a zero in the...


Platforms: Matlab

DIRECTORIES:- SMALLPART/smallpart.mclusterindex.m- PARTITIONS/partition.mcluster.mBLLSG.mBoth are based on the Cluster Polynomial Representation of binary words of arbitrary length. The theory of Universal Lexicons is covered in the following Technical Report (submitted in J. App. Comp....


Platforms: Matlab

For given p(x) = PROD[i=1,m]{SUM[j=2,n+2]{(A(i,j)*x^(j-2))^A(i,1)}} we shall get p(x) = SUM[s=1,N+1]{p(s)^(N+1-s)} For example If p(x) = (x-4)^5 * (3x^6-7x^3+5x+2)^2 * (x^3+8)^3 * x^2 or A = [ 5 -4 1 0 0 0 0 0 2 2 5 0 -7 0 0 3 3 8 0 0 1 0 0 0 1 0 0 1 0 0 0 0 ] then from p = polyget(A) we get p =...


Platforms: Matlab

One function produces the Laguerre polynomial and the other integrates


Platforms: Matlab

The two inputs X and Y are vectors defining a set of N points. The function uses Lagrange's method to find the N-1th order polynomial that passes through all these points, and returns in P the N coefficients defining that polynomial. Then, polyval(P,X) = Y.R returns the x co-ordinates of the N-1...


Platforms: Matlab

Plots data points and first through sixth degree polynomials. Displays polynomial coefficients and r-squared values in command window. Allows user to choose range. Also allows user to remove trendlines that don't appear to fit.


Platforms: Matlab

This interpolation package re-implements Matlab's built in methods ppval (1-d case polynomial evaluator) and ppual (multidimensional polynomial evaluator) which are used by Matlab to evaluate polynomial in their so called "pp-form". Matlab's built in versions are extrimely slow even though...


Platforms: Matlab

polyfitweighted2.m and polyval2.m---------polyfitweighted2.m: Find a least-squares fit of 2D data z(x,y) with an n th order polynomial, weighted by w(x,y).polyval2.m: Evaluate 2D polynomial produced by polyfitweighted2.m.Usage polyfitweighted2-----P = polyfitweighted2(X,Y,Z,N,W) finds the...


Platforms: Matlab

Rt-Plot is a tool to generate Cartesian X/Y-plots from scientific data. You can enter and calculate tabular data. View the changing graphs, including linear and non linear regression, interpolation, differentiation and integration, during entering. Rt-Plot enables you to create plots fast and...


Platforms: Windows

Excel add-in with eleven powerful worksheet functions for 1, 2 and 3 variable lookup and interpolation. Interpolation modes include: closest-value, linear, piecewise parabolic or hyperbolic, cubic spline and polynomial up to 20th order. The functions can also handle tables containing missing and...


Platforms: Windows

CurveFitter program performs statistical regression analysis to estimate the values of parameters for linear, multivariate, polynomial, exponential and nonlinear functions. The regression analysis determines the values of the parameters that cause the function to best fit the observed data that...


Platforms: Windows, Other

TransLT is designed to calculate the transformation parameters and the transformation of coordinates between two coordinates systems is a fast and practical way. The software is aimed at specialists who use GPS technology to perform geodetic works. Main features of TransLT: - Calculation of...


Platforms: Windows

Sake is a PHP implementation of Polynomial Least Squares Regression. The algorithm takes data points as input and returns the resulting polynomial. Graphs can be made using any plotting package. Sake provides the polynomial and will compute as many point


Platforms: Windows, Mac, Linux

XenoMorph - provides a unified concept of polynomial and morphologic image filters. It is built for precision, not for speed, that means it works in floating-point mode internally. It can read PNG, JPG and many other formats, and it writes PNG. A nice feature of this software is it's...


Platforms: Mac

This script implements the algorithm to compute the cyclic redundancy check that is described in the ISO 3309 standard. The generator polynomial is x64 x4 x3 x 1.


Platforms: Windows, Mac, *nix, Python, BSD Solaris

This m-file generates all the m-sequences of length 31.To generate the m-sequence of length 31 we use Primitive polynomial of degree 5.There are three primitive polynomial of degree 5, so there will be 3 different m-sequences of length 31.


Platforms: Matlab

[coef, RSquared]=plotfit(x,y,polyorder)A simple function that accepts x,y data pairs in in the vectors "x" and "y", fits it to a polynomial of order "polyorder", plots the data and the fit, and displays the fit coefficients and the goodness-of-fit measure R-squared in the upper left corner of the...


Platforms: Matlab