Polynômes

Ajustement de courbe, racines, décomposition en éléments simples

Les polynômes sont des équations comportant une seule variable avec des exposants entiers non négatifs. MATLAB^® représente les polynômes par des vecteurs numériques contenant les coefficients polynomiaux classés dans l’ordre des puissances décroissantes. Par exemple, [1 -4 4] correspond à x² - 4x + 4. Pour plus d’informations, consultez Create and Evaluate Polynomials.

Fonctions

`poly`	Polynomial with specified roots or characteristic polynomial
`polydiv`	Polynomial long division (depuis R2024a)
`polyeig`	Polynomial eigenvalue problem
`polyfit`	Ajuster des courbes polynomiales
`residue`	Partial fraction expansion (partial fraction decomposition)
`roots`	Racines polynomiales
`polyval`	Polynomial evaluation
`polyvalm`	Matrix polynomial evaluation
`conv`	Convolution et multiplication polynomiale
`deconv`	Least-squares deconvolution and polynomial division
`polyint`	Polynomial integration
`polyder`	Polynomial differentiation

Rubriques

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.

Exemples présentés

Predicting the US Population

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

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