Resultants of Composed Polynomials: Mixed-mixed Case
Manfred Minimair, Seton Hall University
We will speak on efficiently computing resultants of composed polynomials. By the resultant of several polynomials in several variables (one fewer variables than polynomials) we mean an irreducible polynomial in the coefficients of the polynomials that vanishes if they have a common zero. By a composed polynomial we mean the polynomial obtained from a given polynomial by replacing each variable by a polynomial. We report on generalizations ("Mixed-mixed Case") of previous works: H. Hong and M. Minimair, "Sparse Resultant of Composed Polynomials I", M. Minimair, "Sparse Resultant of Composed Polynomials II".