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CORR
2010
Springer
118views Education» more  CORR 2010»
13 years 7 months ago
alphaCertified: certifying solutions to polynomial systems
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
Jonathan D. Hauenstein, Frank Sottile
CORR
2010
Springer
159views Education» more  CORR 2010»
13 years 7 months ago
An Elimination Method for Solving Bivariate Polynomial Systems: Eliminating the Usual Drawbacks
We present an exact and complete algorithm to isolate the real solutions of a zero-dimensional bivariate polynomial system. The proposed algorithm constitutes an elimination metho...
Eric Berberich, Pavel Emeliyanenko, Michael Sagral...
BMCBI
2007
161views more  BMCBI 2007»
13 years 7 months ago
Efficient classification of complete parameter regions based on semidefinite programming
Background: Current approaches to parameter estimation are often inappropriate or inconvenient for the modelling of complex biological systems. For systems described by nonlinear ...
Lars Kuepfer, Uwe Sauer, Pablo A. Parrilo