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".