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» On Functional Decomposition of Multivariate Polynomials with...
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ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
14 years 24 days ago
High order derivatives and decomposition of multivariate polynomials
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
Jean-Charles Faugère, Ludovic Perret
MOC
2000
137views more  MOC 2000»
13 years 6 months ago
The apolar bilinear form in geometric modeling
Some recent methods of Computer Aided Geometric Design are related to the apolar bilinear form, an inner product on the space of homogeneous multivariate polynomials of a fixed deg...
Gert Vegter
JC
2011
87views more  JC 2011»
13 years 1 months ago
Lower bounds for the complexity of linear functionals in the randomized setting
Abstract. Hinrichs [3] recently studied multivariate integration defined over reproducing kernel Hilbert spaces in the randomized setting and for the normalized error criterion. I...
Erich Novak, Henryk Wozniakowski
AUTOMATICA
2006
106views more  AUTOMATICA 2006»
13 years 6 months ago
Barrier certificates for nonlinear model validation
Abstract-- New methods for model validation of continuoustime nonlinear systems with uncertain parameters are presented in this paper. The methods employ functions of state-paramet...
Stephen Prajna
AUTOMATICA
2005
103views more  AUTOMATICA 2005»
13 years 6 months ago
Periodic signal analysis by maximum likelihood modeling of orbits of nonlinear ODEs
This paper treats a new approach to the problem of periodic signal estimation. The idea is to model the periodic signal as a function of the state of a second-order nonlinear ordi...
Torsten Söderström, Torbjörn Wigren...