.Modelica_LinearSystems2.Math.Polynomial

Information

This record defines a polynomial, e.g., y = 2*x² + 3*x + 1. The general form is:

   y = c[1]*x^n + c[2]*x^(n-1) + ... + c[n]*x + c[n+1];

In the record, the coefficients c[i] are stored. Usually, the record is not directly accessed. Instead, a polynomial is generated with the functions provided in the record, see Polynomial.'constructor'. Also Polynomial.fitting(..) can be helpful. Several functions are provided that operate on polynomials.

See also

Introduction of the Polynomials in Getting started section.

Contents

Name	Description
Examples	Package of examples to demonstrate the usage of polynomials
'constructor'	Collection of operators to construct a Polynomial data record
'-'	Collection of operators for subtraction of polynomials
'+'	Add two polynomials (p1 + p2)
'*'	Multiply two polynomials (p1 * p2)
'/'	Divide two polynomials (p1 / p2)
'^'	Integer power of polynomial (p^n)
'=='	Check whether two polynomials are identical
'String'	Transform Polynomial into a String representation
x	Generate a base polynomial y=x
fitting	Compute a Polynomial that fits a set of data points in a least-squares sense
degree	Return degree of polynomial
plot	Plot polynomial y=p(x)
derivative	Derivative of polynomial
integral	Indefinite integral of polynomial
evaluate	Evaluate a polynomial at a given Real abszissa value
evaluateMatrix	Evaluate a polynomial with a matrix argument
evaluateComplex	Evaluate a polynomial at a given Complex abszissa value
derivativeValue	Evaluate an i-the derivative of polynomial at a given Real abszissa value
integralValue	Evaluate integral of polynomial from x_low to x_high
roots	Determine zeros of polynomial, i.e., points x with p(x)=0
numberOfRoots	Determine number of roots of polynomial
Internal	Internal utility functions of record Polynomial that should not be directly utilized by the user