For the division of univariate polynomials, given the dividend b(x) of degree n and the divisor a(x) of degree m, such that b(x) = q(x)*a(x) + r(x), the quotient q(x) of degree n-m and the remainder r(x) of degree m-1 are then obtained.
This very short code is similar to the MATLAB built-in function 'deconv.m'.
The presented routine [q,r] = poly_div(b,a) can avoid the un-wanted data preceeding the remaider's coefficients applying the built-in routine [q,r] = deconv(b,a). See author's self comment.
Feng Cheng Chang (2023). Polynomial division - derived form covolution (https://www.mathworks.com/matlabcentral/fileexchange/33214-polynomial-division-derived-form-covolution), MATLAB Central File Exchange. Retrieved .
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