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» On the decomposition of rational functions
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CORR
2011
Springer
133views Education» more  CORR 2011»
13 years 5 days 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
AUTOMATICA
2006
112views more  AUTOMATICA 2006»
13 years 8 months ago
Joint identification of plant rational models and noise distribution functions using binary-valued observations
System identification of plants with binary-valued output observations is of importance in understanding modeling capability and limitations for systems with limited sensor inform...
Le Yi Wang, Gang George Yin, Ji-Feng Zhang
AAECC
2007
Springer
132views Algorithms» more  AAECC 2007»
13 years 8 months ago
Approximate implicitization of planar curves by piecewise rational approximation of the distance function
We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given...
Mohamed Shalaby, Bert Jüttler, Josef Schicho
CASC
2010
Springer
151views Mathematics» more  CASC 2010»
13 years 7 months ago
Supporting Global Numerical Optimization of Rational Functions by Generic Symbolic Convexity Tests
Convexity is an important property in nonlinear optimization since it allows to apply efficient local methods for finding global solutions. We propose to apply symbolic methods t...
Winfried Neun, Thomas Sturm, Stefan Vigerske
SODA
1992
ACM
90views Algorithms» more  SODA 1992»
13 years 9 months ago
Self-Testing Polynomial Functions Efficiently and Over Rational Domains
In this paper we give the first self-testers and checkers for polynomials over rational and integer domains. We also show significantly stronger bounds on the efficiency of a simp...
Ronitt Rubinfeld, Madhu Sudan