We present a new positive lower bound for the minimum value taken by a polynomial P with integer coefficients in k variables over the standard simplex of Rk , assuming that P is p...
We review complexity results for minimizing polynomials over the standard simplex and unit hypercube. In addition, we derive new results on the computational complexity of approxi...
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
A method is proposed for finding the global minimum of a multivariate polynomial via sum of squares (SOS) relaxation over its gradient variety. That variety consists of all points ...
We consider the problem of scheduling n jobs that are released over time on a single machine in order to minimize the total ow time. This problem is well-known to be NPcomplete, a...
Hans Kellerer, Thomas Tautenhahn, Gerhard J. Woegi...