# Polynomial

Math::Polynomial::Solve is a Perl module to find the roots of polynomial equations. SYNOPSIS use Math::Complex; # The roots may be complex numbers. use Math::Polynomial::Solve qw(poly_roots); my @x = poly_roots(@coefficients); or use Math::Complex; # The roots may be complex numbers....
Platforms: *nix

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These functions show some advances about MPF (Matrix Polynomial Fraction) using for represent multivariable models and design multivariable control system.
Platforms: Matlab

License: Freeware | Size: 419.84 KB | Download (18): Matrix Polynomial Fraction Download |

POLYCOMP Polynomial compositionR = POLYCOMP(P,Q) returns the composition of Q(P(x)) given polynomials P and Q with coefficients in descending order. If Q is a scalar, with value N, it assumes shorthand notation for Q(x)=x^N. Output is a polynomial with coefficients in descending order. Example:%...
Platforms: Matlab

License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (18): Polynomial Composition Download |

**Released:**June 12, 2015 | Added: June 16, 2015 | Visits: 3.237

Data Curve Fit Creator Add-in is an easy-to-use data analysis add-in for Microsoft Excel. It adds curve fitting, interpolation, and data smoothing functions to Excel. Curve fitting functions include polynomial fits and a versatile local regression (loess) function. Interpolations include...
Platforms: Windows, Windows 8, Windows 7, Windows Server, Other

License: Shareware | Cost: $79.95 USD | Size: 5.68 MB | Download (271): Data Curve Fit Creator Add-in Download |

A given polynomial p(x) is transformed into a rational function r(x). The poles and residues of the derived rational function are found to be equivalent to the roots and multiplicities of the original polynomial. p(x) = Given polynomial = PROD[k=1:K]{(x - z_k)^m_k} d(x) = (d/dx)p(x) g(x) =...
Platforms: Matlab

License: Freeware | Size: 10 KB | Download (18): Multiple-root polynomial solved by partial fraction expansion Download |

Often, measured data is comprised of N sampled values of z, evaluated at N locations (x,y). With this function, you can calculate the coefficients of the best-fit x,y polynomial using a linear least squares approximation.You can use this function if you have a set of N data triplets x,y,z, and...
Platforms: Matlab

License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (20): 3D Least squares polynomial fit in x and y Download |

Routh-Hurwitz stability criterion identifies the conditions when the poles of a polynomial cross into the righthand half plane and hence would be considered as unstable in control engineering.
Platforms: Matlab

License: Freeware | Size: 10 KB | Download (18): Routh-Hurwitz stability criterion Download |

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.
Platforms: Matlab

License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (21): Faddeev-Leverrier Algorithm Download |

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

License: Freeware | Size: 10 KB | Download (18): Routh Hurwitz array Download |

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

License: Freeware | Size: 10 KB | Download (20): Routh Hurwitz Criteria using user defined Function Download |

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

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LaguerreGen calculates the generalized Laguerre polynomial L{n, alpha}This function computes the generalized Laguerre polynomial L{n,alpha}.If no alpha is supplied, alpha is set to zero and this function calculates the "normal" Laguerre polynomial.Input: - n = nonnegative integer as degree level...
Platforms: Matlab

License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (18): Generalized Laguerre polynomial Download |

One function produces the Laguerre polynomial and the other integrates
Platforms: Matlab

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Polynomial division by convolution.Calculate inverse Z-transform -- (Polynomial division) - Up to K terms, q(z) = b(z)/a(z),where b(z)=b(0)+...+b(k)/z^k +...+b(n)/z^n. a(z)=a(0)+...+a(k)/z^k +...+a(m)/z^m. q(z)=q(0)+...+q(k)/z^k +...+q(K)/z^K + ......If coefficients of b(x) and a(x) are all...
Platforms: Matlab

License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (18): Polynomial division by convolution -- up to finite terms Download |

It returns a vector POL, if it exists, such that conv(POL,POL) = P. P is a vector whose elements are the coefficients of a polynomial in descending powers
Platforms: Matlab

License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (18): Polynomial Square Root Download |

For a given real-valued function of one real variable on an interval, the code calculates the best approximation in the uniform (max) norm by a polynomial of a given degree. Approximating in a uniform norm is much computationally harder compared to the standard least squares fit, but gives eye...
Platforms: Matlab

License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (18): Best polynomial approximation in uniform norm Download |

% Polynomial Interpolation Problem: Lagrange Form% x and y are vectors with the same dimensions% Given n points: (x_k,y_k) k = 1,2,...n% this function finds a polynomial P(x) of degree less% than n such that P(x_k) = y_k% --% Remarks:% The resulting polynomial is displayed in symbolic notation%...
Platforms: Matlab

License: Shareware | Cost: $0.00 USD | Size: 51.2 KB | Download (20): Lagrange polynomial Download |

This code implements the 1D polynomial regression method. It uses the least square method for the finding of regression polynomial coefficents. Outputs of the script are polynomial regression coefficients, residuals, the sum of squared errors, the determination index and the graphical comparison...
Platforms: Matlab

License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (18): The polynomial regression method Download |

POLYFACT Polynomial FactorizationQ = POLYFACT(A) returns the factorization of polynomial A. Input variable A must be a vector with integer coefficients in descending order. e.g. [3 7 2] represents 3*x^2+7x+2 Output Q is a cell array with each index being a polynomial factor, with integer...
Platforms: Matlab

License: Shareware | Cost: $0.00 USD | Size: 10 KB | Download (18): Polynomial Factorization Download |

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

License: Shareware | Cost: $0.00 USD | Size: 40.96 KB | Download (18): Extrimely fast general n-dimensional interpolators Download |