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JGO
2008
83views more  JGO 2008»
13 years 4 months ago
Global minimization of rational functions and the nearest GCDs
This paper discusses the global minimization of rational functions with or without constraints. We studied the sum of squares (SOS) relaxations and their properties to solve this ...
Jiawang Nie, James Demmel, Ming Gu
TCS
2008
13 years 4 months ago
Approximate GCDs of polynomials and sparse SOS relaxations
The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
Bin Li, Jiawang Nie, Lihong Zhi
CORR
2011
Springer
133views Education» more  CORR 2011»
12 years 8 months ago
Minimizing the sum of many rational functions
We consider the problem of globally minimizing the sum of many rational functions over a given compact semialgebraic set. The number of terms can be large (10 to 100), the degree ...
Florian Bugarin, Didier Henrion, Jean B. Lasserre
DAGSTUHL
2008
13 years 6 months ago
Error Bounds for Lanczos Approximations of Rational Functions of Matrices
Abstract. Having good estimates or even bounds for the error in computing approximations to expressions of the form f(A)v is very important in practical applications. In this paper...
Andreas Frommer, Valeria Simoncini
GECCO
2003
Springer
165views Optimization» more  GECCO 2003»
13 years 10 months ago
An Evolutionary Approach for Molecular Docking
We have developed an evolutionary approach for the flexible docking that is now an important component of a rational drug design. This automatic docking tool, referred to as the G...
Jinn-Moon Yang