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ISSAC
2009
Springer
123views Mathematics» more  ISSAC 2009»
16 years 1 months ago
Schemes for deterministic polynomial factoring
In this work we relate the deterministic complexity of factoring polynomials (over finite fields) to certain combinatorial objects, we call m-schemes, that are generalizations o...
Gábor Ivanyos, Marek Karpinski, Nitin Saxen...
ISSAC
2009
Springer
139views Mathematics» more  ISSAC 2009»
16 years 1 months ago
Multihomogeneous resultant formulae for systems with scaled support
Constructive methods for matrices of multihomogeneous resultants for unmixed systems have been studied in [7, 14, 16]. We generalize these constructions to mixed systems, whose Ne...
Ioannis Z. Emiris, Angelos Mantzaflaris
ISSAC
2009
Springer
184views Mathematics» more  ISSAC 2009»
16 years 1 months ago
An iterative method for calculating approximate GCD of univariate polynomials
We present an iterative algorithm for calculating approximate greatest common divisor (GCD) of univariate polynomials with the real coefficients. For a given pair of polynomials a...
Akira Terui
MKM
2009
Springer
16 years 1 months ago
Combined Decision Techniques for the Existential Theory of the Reals
Methods for deciding quantifier-free non-linear arithmetical conjectures over R are crucial in the formal verification of many realworld systems and in formalised mathematics. Wh...
Grant Olney Passmore, Paul B. Jackson
DOCENG
2009
ACM
16 years 1 months ago
On the analysis of queries with counting constraints
We study the analysis problem of XPath expressions with counting constraints. Such expressions are commonly used in document transformations or programs in which they select porti...
Everardo Bárcenas, Pierre Genevès, N...