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ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
14 years 9 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
JSC
2008
162views more  JSC 2008»
13 years 5 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...
JSC
2007
106views more  JSC 2007»
13 years 5 months ago
Computing multihomogeneous resultants using straight-line programs
We present a new algorithm for the computation of resultants associated with multihomogeneous (and, in particular, homogeneous) polynomial equation systems using straight-line pro...
Gabriela Jeronimo, Juan Sabia
CADE
2008
Springer
13 years 7 months ago
Aligator: A Mathematica Package for Invariant Generation (System Description)
We describe the new software package Aligator for automatically inferring polynomial loop invariants. The package combines algorithms from symbolic summation and polynomial algebra...
Laura Kovács
ICCAD
2007
IEEE
234views Hardware» more  ICCAD 2007»
13 years 9 months ago
Finding linear building-blocks for RTL synthesis of polynomial datapaths with fixed-size bit-vectors
Abstract: Polynomial computations over fixed-size bitvectors are found in many practical datapath designs. For efficient RTL synthesis, it is important to identify good decompositi...
Sivaram Gopalakrishnan, Priyank Kalla, M. Brandon ...