Polynomial Interpolation

Approx a point-defined function using Lagrange polinomial interpolation method

% 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%...

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

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

It is implemented in JavaScript, using the jQuery and Prototype framewroks, and uses image formats like SVG and VML. Key features "JSXGraph": - Euclidean Geometry: Points, lines, circles, intersections, perpendicular lines, angles - Curve plotting: Graphs, parametric curves, polar curves, data...


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

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

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

Linear Interpolation Calculator is a free solution that gives you the possibility to interpolate between values to arrive to the correct intermediate result. Linear interpolation has many uses usually in steam tables to find the unknown value.


Platforms: Windows

This script represents a lightweight and powerful way to evaluate expressions embedded in strings during interpolation.


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

It performs piecewise parabolic interpolation and approximated calculation of first and second derivative at the interpolation point. Requirements: - MATLAB 5.2 or higher


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

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


Platforms: Matlab

Piecewise cubic spline interpolation and approximated calculation of first and second derivative at the interpolation point.


Platforms: Matlab

Performs N-D FFT interpolation on any data for which fftn works. Will upsample by zero-filling, downsample by truncating high frequencies, or combine both up- and downsampling by dimension to allow arbitrary reshaping.


Platforms: Matlab

Piecewise Hermite cubic interpolation between 2 points knowing derivative valuesSyntax: y=p3hermite(x,pointx,pointy,yprime,plt)Wherepointx = data points of the independent variable (The points do not have to be equally spaced)pointy = data points of the dependent variable. pointy is the value of...


Platforms: Matlab

Interpolates a tridimensional function and calculates a parabolic approximation to first and second derivatives at the interpolation points.


Platforms: Matlab

This function allow you to perform 2d interpolation for matlab code that have to be compiled to C.


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

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

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

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