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CORR
2006
Springer
69views Education» more  CORR 2006»
13 years 4 months ago
Bounds on the coefficients of the characteristic and minimal polynomials
ABSTRACT. This note presents absolute bounds on the size of the coefficients of the characteristic and minimal polynomials depending on the size of the coefficients of the associat...
Jean-Guillaume Dumas
MP
2006
121views more  MP 2006»
13 years 4 months ago
Approximate fixed-rank closures of covering problems
Consider a 0/1 integer program min{cT x : Ax b, x {0, 1}n } where A is nonnegative. We show that if the number of minimal covers of Ax b is polynomially bounded, then there is ...
Daniel Bienstock, Mark Zuckerberg
CORR
2008
Springer
143views Education» more  CORR 2008»
13 years 5 months ago
Convergence Thresholds of Newton's Method for Monotone Polynomial Equations
Abstract. Monotone systems of polynomial equations (MSPEs) are systems of fixedpoint equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomia...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
SIGMOD
2004
ACM
126views Database» more  SIGMOD 2004»
14 years 5 months ago
Indexing Spatio-Temporal Trajectories with Chebyshev Polynomials
In this paper, we attempt to approximate and index a ddimensional (d 1) spatio-temporal trajectory with a low order continuous polynomial. There are many possible ways to choose ...
Yuhan Cai, Raymond T. Ng
INFOCOM
2010
IEEE
13 years 3 months ago
Routing for Energy Minimization in the Speed Scaling Model
Abstract—We study network optimization that considers energy minimization as an objective. Studies have shown that mechanisms such as speed scaling can significantly reduce the ...
Matthew Andrews, Antonio Fernández, Lisa Zh...