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ISSAC
1998
Springer
111views Mathematics» more  ISSAC 1998»
14 years 21 days 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
JOC
2007
125views more  JOC 2007»
13 years 8 months ago
Deterministic Polynomial-Time Equivalence of Computing the RSA Secret Key and Factoring
Abstract. We address one of the most fundamental problems concerning the RSA cryptosystem: does the knowledge of the RSA public and secret key-pair (e, d) yield the factorization o...
Jean-Sébastien Coron, Alexander May
CORR
2010
Springer
163views Education» more  CORR 2010»
13 years 5 months ago
NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems
We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time) algorithm that can decide whether a multivariate polynomial of degree four (or higher ev...
Amir Ali Ahmadi, Alexander Olshevsky, Pablo A. Par...
JGO
2008
90views more  JGO 2008»
13 years 8 months ago
A scaling algorithm for polynomial constraint satisfaction problems
Abstract. Good scaling is an essential requirement for the good behavior of many numerical algorithms. In particular, for problems involving multivariate polynomials, a change of s...
Ferenc Domes, Arnold Neumaier