Polynome

Kurvenanpassung, Wurzeln, Entwicklung von Partialbrüchen

Polynome sind Gleichungen einer einzelnen Variable mit nicht negativen Ganzzahl-Exponenten. In MATLAB^® werden Polynome durch numerische Vektoren dargestellt, die die Polynom-Koeffizienten nach Potenz in absteigender Reihenfolge beinhalten. Beispielsweise entspricht [1 -4 4] x² - 4x + 4. Weitere Informationen finden Sie unter Create and Evaluate Polynomials.

Funktionen

`poly`	Polynomial with specified roots or characteristic polynomial
`polydiv`	Polynomial long division (Seit R2024a)
`polyeig`	Polynomial eigenvalue problem
`polyfit`	Polynomiale Kurvenanpassung
`residue`	Partial fraction expansion (partial fraction decomposition)
`roots`	Polynomwurzeln
`polyval`	Polynomial evaluation
`polyvalm`	Matrix polynomial evaluation
`conv`	Faltung und polynomiale Multiplikation
`deconv`	Least-squares deconvolution and polynomial division
`polyint`	Polynomial integration
`polyder`	Polynomial differentiation

Themen

Create and Evaluate Polynomials
This example shows how to represent a polynomial as a vector in MATLAB® and evaluate the polynomial at points of interest.
Roots of Polynomials
Calculate polynomial roots numerically, graphically, or symbolically.
Integrate and Differentiate Polynomials
This example shows how to use the polyint and polyder functions to analytically integrate or differentiate any polynomial represented by a vector of coefficients.
Polynomial Curve Fitting
This example shows how to fit a polynomial curve to a set of data points using the polyfit function.
Programmatic Fitting
There are many functions in MATLAB that are useful for data fitting.

Enthaltene Beispiele

Predicting the US Population

Extrapolating data using polynomials of even modest degree is risky and unreliable.

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