Generalized Companion Subresultants of Several Univariate Polynomials in Newton Basis

In this paper, the concept of companion subresultant for polynomials in power basis is extended to that for polynomials in Newton basis and an explicit formula in the form of determinental polynomial is developed for the generalized companion subresultant. It is noted that the resulting subresultant is expressed with the same Newton basis as the input polynomials and it shares the essential property with the subresultant in power basis.