mpower

Laurent polynomial exponentiation

Since R2021b

Syntax

Q = mpower(P,pow)

Q = P^pow

Description

Q = mpower(P,pow) raises the Laurent polynomial P to the power pow.

Q = P^pow is equivalent to Q = mpower(p,pow).

Examples

Laurent Polynomial Exponentiation

Create two Laurent polynomials:

• $$a(z)=z-1$$

• $$b(z)=-2z^3+6z^2-6z+2$$

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

Raise $$a(z)$$ to the third power. Confirm the result is not equal to $$b(z)$$.

a3 = a^3;
a3 ~= b

ans = logical
   1

Confirm $$a(z)$$ raised to the third power is equal to $$-b(z)/2$$.

b2 = rescale(b,-1/2);
a3 == b2

ans = logical
   1

Input Arguments

P — Laurent polynomial

laurentPolynomial object

Laurent polynomial, specified as a laurentPolynomial object.

pow — Power

integer

Power, specified as an integer. If pow is negative, P must be a monomial.

Example: Q = mpower(lp,3) raises the Laurent polynomial lp to the third power.

Data Types: double

Output Arguments

Q — Laurent polynomial

laurentPolynomial object

Laurent polynomial raised to a nonzero power, returned as a laurentPolynomial object.

Extended Capabilities

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

Version History

Introduced in R2021b