Polynomial division by convolution - quotient and reminder
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)
where
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'.
Citation pour cette source
Feng Cheng Chang (2024). 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. Récupéré le .
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- MATLAB > Mathematics > Elementary Math > Polynomials >
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Remerciements
Inspiré par : Calculates inverse Z-transform by long division
A inspiré : Polynomial division - derived form covolution
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Version | Publié le | Notes de version | |
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1.34.0.0 | update the m file |
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1.33.0.0 | Update the m-file, to include any polynomials with both leading and trailing zero coefficients. |
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1.32.0.0 | Correct typo in Description, and update the M-file. |
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1.0.0.0 |