Structured and resultant matrices
Paola Boito · Edizioni della Normale eBooks · 2011
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. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.