degree

Degree of Laurent polynomial

Since R2021b

Syntax

deg = degree(P)

Description

deg = degree(P) returns the degree of the Laurent polynomial P.

If P(z) is a Laurent polynomial $$P(z)={\displaystyle \sum _{k=m}^n{C}_k}{z}^k$$, where m and n are integers, the degree of P(z) is n-m.

Examples

Degree of Laurent Polynomials

Create two Laurent polynomials:

• $$a(z)=z-1$$

• $$b(z)=-2z^3+6z^2-7z+2$$

a = laurentPolynomial(Coefficients=[1 -1],MaxOrder=1);
b = laurentPolynomial(Coefficients=[-2 6 -7 2],MaxOrder=3);

Multiply $$a(z)$$ and $$b(z)$$. Confirm the degree of the product is equal to the sum of the degrees of $$a(z)$$ and $$b(z)$$.

ab = a*b;
degree(ab)

ans = 4

degree(a)+degree(b)

ans = 4

Input Arguments

P — Laurent polynomial

laurentPolynomial object

Laurent polynomial, specified as a laurentPolynomial object.

Output Arguments

deg — Degree

nonnegative integer

Degree of Laurent polynomial, returned as a nonnegative integer.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Version History

Introduced in R2021b