Polynomials

Curve fitting, roots, partial fraction expansions

Polynomials are equations of a single variable with nonnegative integer exponents. MATLAB® represents polynomials with numeric vectors containing the polynomial coefficients ordered by descending power. For example, [1 -4 4] corresponds to x2 - 4x + 4. For more information, see Create and Evaluate Polynomials.

Functions

 poly Polynomial with specified roots or characteristic polynomial polyeig Polynomial eigenvalue problem polyfit Polynomial curve fitting residue Partial fraction expansion (partial fraction decomposition) roots Polynomial roots polyval Polynomial evaluation polyvalm Matrix polynomial evaluation conv Convolution and polynomial multiplication deconv Deconvolution and polynomial division polyint Polynomial integration polyder Polynomial differentiation

Topics

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.