Multiplies two polynomials.

a—The array of coefficients of the first polynomial.

b—The array of coefficients of the second polynomial.

result—An array of coefficients representing the product of the two polynomials.

None.

Polynomial multiplication simply amounts to convolving the coefficients of the polynomials. P_MULT uses the CONVOL1D function to perform this operation.

In this example, two polynomials with real coefficients are multiplied:  a(x) = 1 + x  and b(x) = 1 + 2x + 2x2 + x3. The solution should be (1 + x)(1 + 2x + 2x2 + x3) = 1 + 3x + 4x2 + 3x3 + x4.

a = [1, 1]

b = [1, 2, 2, 1]

c = P_MULT(a, b)

PM, c

; 1.0000000

; 3.0000000

; 4.0000000

; 3.0000000

; 1.0000000

; Which matches the expected solution.

CONVOL1D

Blahut, 1985