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DCG
2008
69views more  DCG 2008»
13 years 10 months ago
On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities
Let S Rk+m be a compact semi-algebraic set defined by P1 0, . . . , P 0, where Pi R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) 2, 1 i . Let denote the standard projection f...
Saugata Basu, Thierry Zell
ITA
2007
13 years 9 months ago
Correct rounding of algebraic functions
We explicit the link between the computer arithmetic problem of providing correctly rounded algebraic functions and some diophantine approximation issues. This allows to get bounds...
Nicolas Brisebarre, Jean-Michel Muller
TASE
2008
IEEE
14 years 4 months ago
Bounded Model Checking of Compositional Processes
Verification techniques like SAT-based bounded model checking have been successfully applied to a variety of system models. Applying bounded model checking to compositional proce...
Jun Sun 0001, Yang Liu 0003, Jin Song Dong, Jing S...
CORR
2011
Springer
146views Education» more  CORR 2011»
13 years 4 months ago
Refined bounds on the number of connected components of sign conditions on a variety
Let R be a real closed field, P, Q ⊂ R[X1, . . . , Xk] finite subsets of polynomials, with the degrees of the polynomials in P (resp. Q) bounded by d (resp. d0). Let V ⊂ Rk b...
Sal Barone, Saugata Basu
SIAMSC
2010
132views more  SIAMSC 2010»
13 years 8 months ago
A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers
For the finite volume discretization of a second-order elliptic model problem, we derive a posteriori error estimates which take into account an inexact solution of the associated...
Pavel Jiránek, Zdenek Strakos, Martin Vohra...