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NA
2010
153views more  NA 2010»
13 years 3 months ago
Verified error bounds for multiple roots of systems of nonlinear equations
It is well known that it is an ill-posed problem to decide whether a function has a multiple root. Even for a univariate polynomial an arbitrary small perturbation of a polynomial ...
Siegfried M. Rump, Stef Graillat
ICASSP
2011
IEEE
12 years 8 months ago
Cooperative Maximum Likelihood estimation for fluid flow dynamics in biosensor arrays
Abstract—This paper deals with estimation of the concentration of target molecules in a fluid when it flows past multiple biosensors. The fluid flow is modelled as an advecti...
Maryam Abolfath Beygi, Vikram Krishnamurthy
ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
13 years 8 months ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
HYBRID
2010
Springer
13 years 11 months ago
Automatic invariant generation for hybrid systems using ideal fixed points
We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...
Sriram Sankaranarayanan