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CORR
2010
Springer
99views Education» more  CORR 2010»
13 years 5 months ago
On Functional Decomposition of Multivariate Polynomials with Differentiation and Homogenization
In this paper, we give a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which ...
Shang-Wei Zhao, Ruyong Feng, Xiao-Shan Gao
ISSAC
1992
Springer
101views Mathematics» more  ISSAC 1992»
13 years 9 months ago
Homogeneous Decomposition of Polynomials
Jürgen Weiss
CORR
2010
Springer
126views Education» more  CORR 2010»
13 years 5 months ago
Piecewise Certificates of Positivity for matrix polynomials
Abstract. We show that any symmetric positive definite homogeneous matrix polynomial M R[x1, . . . , xn]m
Ronan Quarez
MKM
2009
Springer
14 years 1 days ago
Algorithms for the Functional Decomposition of Laurent Polynomials
Abstract. Recent work has detailed the conditions under which univariate Laurent polynomials have functional decompositions. This paper presents algorithms to compute such univaria...
Stephen M. Watt
DM
2008
97views more  DM 2008»
13 years 5 months ago
On the integral ring spanned by genus two weight enumerators
Abstract. It is known that the weight enumerator of a self-dual doublyeven code in genus g = 1 can be uniquely written as an isobaric polynomial in certain homogeneous polynomials ...
Manabu Oura