image thumbnail

Polynomial division by convolution - quotient and reminder

version 1.34.0.0 (1.58 KB) by Feng Cheng Chang
Division of two polynomials to get quotient and reminder using convolution matrix.

2K Downloads

Updated 07 Jul 2011

View License

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'.

Cite As

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 .

MATLAB Release Compatibility
Created with R13
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!