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Published in:
2011 | OriginalPaper | Chapter
Structured and resultant matrices
Author : Paola Boito
Published in: Structured Matrix Based Methods for Approximate Polynomial GCD
Publisher: Edizioni della Normale
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A resultant matrix of two polynomials is a matrix whose entries are functions of the polynomial coefficients, and such that the polynomials have a common root if and only if the determinant of this matrix (which is often called the
resultant
) is zero. Moreover, the degree of the GCD of the two polynomials is equal to the rank deficiency of the resultant matrix.