WOLFRAM SYSTEM MODELER

Polynomials

Library of functions operating on polynomials (including polynomial fitting)

Package Contents

	evaluate Evaluate polynomial at a given abscissa value
	evaluateWithRange Evaluate polynomial at a given abscissa value with linear extrapolation outside of the defined range
	derivative Derivative of polynomial
	derivativeValue Value of derivative of polynomial at abscissa value u
	secondDerivativeValue Value of 2nd derivative of polynomial at abscissa value u
	integral Indefinite integral of polynomial p(u)
	integralValue Integral of polynomial p(u) from u_low to u_high
	fitting Computes the coefficients of a polynomial that fits a set of data points in a least-squares sense
	evaluate_der Evaluate derivative of polynomial at a given abscissa value
	evaluateWithRange_der Evaluate derivative of polynomial at a given abscissa value with extrapolation outside of the defined range
	integralValue_der Time derivative of integral of polynomial p(u) from u_low to u_high, assuming only u_high as time-dependent (Leibniz rule)
	derivativeValue_der Time derivative of derivative of polynomial
	roots Compute zeros of a polynomial where the highest coefficient is assumed as not to be zero

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This package contains functions to operate on polynomials, in particular to determine the derivative and the integral of a polynomial and to use a polynomial to fit a given set of data points.

Wolfram Language

In[1]:=

SystemModel["Modelica.Math.Polynomials"]

Out[1]:=

Revisions

Oct. 22, 2004 by Martin Otter (DLR):
Renamed functions to not have abbreviations.
Based fitting on LAPACK
New function to return the polynomial of an indefinite integral
Sept. 3, 2004 by Jonas Eborn (Scynamics):
polyderval, polyintval added
March 1, 2004 by Martin Otter (DLR):
first version implemented