Polynomial Equations

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

This file contains MATLAB code that can parse Simscape language files, extract the equations, and displays them in a format that is easy to read. The equations are converted to LaTeX format and then displayed in a MATLAB figure window.Please read the README.txt file to get started. Platforms: Matlab

We present here a program Fie that solves numerically Fredholm integral equations of the second kind on an interval [a,b] to a specified, modest accuracy. Test programs are also included for the various cases. The program TestAll, with no input parameters, can be used to illustrate the various... Platforms: Matlab

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

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

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

% 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

Let us suppose a set of non-linear equations in the formF(m) = d(m,d are vectors, F is a vector function of vector argument). ANNI tries to construct suitable numerical approximation for inverse projection of d to m, i.e. to find numerical form ofG(d) = m.Such mapping may not exist in general,... Platforms: Matlab

This customised function solves one type of non-linear systemof 3 simultaneous equations in 3 unknowns: k, L and r0 in 3 equations with 4 knowns: zeta, eeta, d and angle.function matrixresults = symsolvenonlineq(n,degrees,dinput)% EXAMPLE USAGE: m=symsolvenonlineq(3,45,20)% nb: takes around 738s... Platforms: Matlab

Fully documented script file but this essentially solves the simultaneous equations Yvonne presented in a previous thread and does so for two 1 x 4 vectors. I then built four graphs and displayed them all on one plot. Platforms: Matlab

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

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

PP = PCHIPD(X,Y,D) provides the piecewise cubic polynomial which interpolates values Y and derivatives D at the sites X. This is meant to augment the built-in Matlab function PCHIP, which does not allow the user to specify derivatives.X must be a vector.If Y and D are vectors, then Y(i) and D(i)... Platforms: Matlab

NROOTS attempts to find all the roots of a real/complex polynomial. It uses a two-step algorithm: a first-approximation to a root is found via the companion matrix method (as per the built-in function ROOTS) and then this approximation is refined (polished) via a Newton-Raphson iteration scheme.... Platforms: Matlab

This code permits us to generate the polynomiographyof the Newton's method for the one parameter cubic polynomial p(z)= z^3+(c-1)*z-c, where c is the parameter spaceWe first check that 0 is a free critical point of Newton method for the polynomial p(z) Platforms: Matlab

Use coeffs = fit2dPolySVD(x, y, z, order) to fit a polynomial of x and y so that it provides a best fit to the data z.Uses SVD which is robust even if the data is degenerate. Will always produce a least-squares best fit to the data even if the data is overspecified or underspecified.x, y, z are... Platforms: Matlab

Based on Symbolic Math functions and GUIDE flexibility, this software help to solve easily polynomial functions analysis.User just enter polynomial functions like f(x)/g(x) with f(x) = ax^n + bx^(n-1) + ... C and g(x)= a1x^n + b1x^(n-1) + ... D ; n in N.The version published is in French , but I... Platforms: Matlab

The program solves algebraic equations. It displays the graphic of the function and a list of the real roots of the equation. It also includes the option to evaluate a function and its derivative. The application has a simple wizard-driven interface.The context sensitive help will guide you step... Platforms: Windows

MathWriter is a stand-alone program that allows for the production of, Mathematical, Scientific and Engineering equations and formulae.Schoolteachers and Lecturers will find MathWriter useful for producing notes, reports and test papers. The program is designed so that an expression may be... Platforms: Windows, Windows CE

KonstSolver is a high-performance vector and matrix library for .NET (C#, C++, and VB), thread based, 100% managed code. A parallel LU algorithm for solving dense systems of linear equations of the form Ax = b provides amazing speedup on multicore and multiprocessor computers. KonstSolver allows... Platforms: Windows