Sciweavers

13 search results - page 1 / 3
» On the minimum of a positive polynomial over the standard si...
Sort
View
JSC
2010
85views more  JSC 2010»
13 years 3 months ago
On the minimum of a positive polynomial over the standard simplex
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...
Gabriela Jeronimo, Daniel Perrucci
EOR
2008
69views more  EOR 2008»
13 years 5 months ago
On the complexity of optimization over the standard simplex
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...
E. de Klerk, Dick den Hertog, G. Elabwabi
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 2 months ago
The DMM bound: multivariate (aggregate) separation bounds
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...
MP
2006
80views more  MP 2006»
13 years 5 months ago
Minimizing Polynomials via Sum of Squares over the Gradient Ideal
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 ...
Jiawang Nie, James Demmel, Bernd Sturmfels
STOC
1996
ACM
132views Algorithms» more  STOC 1996»
13 years 9 months ago
Approximability and Nonapproximability Results for Minimizing Total Flow Time on a Single Machine
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...