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» On the Complexity of the Interlace Polynomial
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BIRTHDAY
2007
Springer
16 years 10 days ago
Generating Polynomial Invariants with DISCOVERER and QEPCAD
Abstract. This paper investigates how to apply the techniques on solving semi-algebraic systems to invariant generation of polynomial programs. By our approach, the generated invar...
Yinghua Chen, Bican Xia, Lu Yang, Naijun Zhan
JSC
2008
162views more  JSC 2008»
15 years 6 months ago
Approximate factorization of multivariate polynomials using singular value decomposition
We describe the design, implementation and experimental evaluation of new algorithms for computing the approximate factorization of multivariate polynomials with complex coefficie...
Erich Kaltofen, John P. May, Zhengfeng Yang, Lihon...
FOCM
2007
48views more  FOCM 2007»
15 years 6 months ago
Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace
Abstract. We consider the problem of efficient integration of an n-variate polynomial with respect to the Gaussian measure in Rn and related problems of complex integration and opt...
Alexander I. Barvinok
CASC
2011
Springer
262views Mathematics» more  CASC 2011»
14 years 6 months ago
Practical Divide-and-Conquer Algorithms for Polynomial Arithmetic
We investigate two practical divide-and-conquer style algorithms for univariate polynomial arithmetic. First we revisit an algorithm originally described by Brent and Kung for comp...
William Hart, Andrew Novocin
ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
16 years 21 days ago
High order derivatives and decomposition of multivariate polynomials
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
Jean-Charles Faugère, Ludovic Perret