Polynomial division by convolution matrix approach.
Given b(x) and a(x), and find q(x) and r(x) in
b(x) = a(x)*q(x) + r(x)
b(x) = b(0)+ ... +b(k)*x^k + ... +b(n)*x^n
a(x) = a(0)+ ... +a(k)*x^k + ... +a(m)*x^m
q(x) = q(0)+ ...+ q(k)*x^k + ... +q(n-m)*x^(n-m)
r(x) = r(0)+ ...+ r(k)*x^k + ... +r(m-1)*x^(m-1)
If coefficients of b(x) and a(x) are all integers, then the entire process may involve mostly integer arithmetric operations. The roundoff errors may thus be eliminated.
This code is similar to the MATLAB's built-in function: 'deconv.m'.
Feng Cheng Chang (2021). Polynomial division by convolution - quotient and reminder (https://www.mathworks.com/matlabcentral/fileexchange/19565-polynomial-division-by-convolution-quotient-and-reminder), MATLAB Central File Exchange. Retrieved .
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Inspired by: Calculates inverse Z-transform by long division
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