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» New Structure Theorem for Subresultants
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JSC
2000
68views more  JSC 2000»
13 years 7 months ago
New Structure Theorem for Subresultants
We give a new structure theorem for subresultants precising their gap structure and derive from it a new algorithm for computing them. If d is a bound on the degrees and a bound o...
Henri Lombardi, Marie-Françoise Roy, Mohab ...
CADE
2006
Springer
14 years 7 months ago
Proving Formally the Implementation of an Efficient gcd Algorithm for Polynomials
We describe here a formal proof in the Coq system of the structure theorem for subresultants, which allows to prove formally the correctness of our implementation of the subresulta...
Assia Mahboubi
CORR
2006
Springer
90views Education» more  CORR 2006»
13 years 7 months ago
Symmetric Subresultants and Applications
Schur's transforms of a polynomial are used to count its roots in the unit disk. These are generalized them by introducing the sequence of symmetric sub-resultants of two pol...
Cyril Brunie, Philippe Saux Picart
ISSAC
1998
Springer
111views Mathematics» more  ISSAC 1998»
13 years 11 months ago
A Subresultant Theory for Ore Polynomials with Applications
The subresultant theory for univariate commutative polynomials is generalized to Ore polynomials. The generalization includes: the subresultant theorem, gap structure, and subresu...
Ziming Li
TOC
2010
155views Management» more  TOC 2010»
13 years 2 months ago
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
Abstract: We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structur...
Andris Ambainis