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Computation of the Smith Form for Multivariate Polynomial Matrices Using Maple
Smith Form Unimodular Equivalence Quillen-Suslin Theorem Maple
2013/1/30
In this paper we show how the transformations associated with the reduction to the Smith form of some classes of multivariate polynomial matrices are computed. Using a Maple implementation of a constr...
M-tensors and The Positive Definiteness of a Multivariate Form
M-tensors eigenvalue algorithm positive definiteness
2012/3/1
We study M-tensors and various properties of M-tensors are given. Specially, we show that the smallest real eigenvalue of M-tensor is positive corresponding to a nonnegative eigenvector. We propose an...
ON FUNCTIONAL DECOMPOSITION OF MULTIVARIATE POLYNOMIALS WITH DIFFERENTIATION AND HOMOGENIZATION
Cryptosystem analysis functional decomposition homogeneous polynomials multivariate polynomial right factor space
2013/9/9
This paper gives a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which were proposed by Ye, Dai, ...
On Multivariate Chromatic Polynomials of Hypergraphs and Hyperedge Elimination
Hypergraphs Colorings Tutte Polynomials
2011/2/21
In this paper, we consider multivariate hyperedge elimination polynomials and multivariate chromatic polynomials for hypergraphs. The rst set of polynomials is de ned in terms of a deletion-contracti...
A new algorithm for computing the multivariate Faà di Bruno's formula
multivariate composite function Fa`a di Bruno’s formula multivariate cumulant
2011/3/1
A new algorithm for computing the multivariate Fa`a di Bruno’s formula is provided.We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa`a...
Multivariate polynomial interpolation and sampling in Paley-Wiener spaces
Multivariate polynomial interpolation sampling Paley-Wiener spaces
2010/12/3
In this paper, an equivalence between existence of particular exponential Riesz bases
for multivariate bandlimited functions and existence of certain polynomial interpolants for these bandlimited fun...
专著信息
书名
Characterization of smoothness of multivariate refinable functions and convergence algorithms of nonhomogeneous refinement equations
语种
英文
撰写或编译
作者
李松
第一作者单位
出版社
Advance in computational mathe...
专著信息
书名
Multivariate refinement equations and convergence of cascade algorithms
语种
英文
撰写或编译
作者
李松
第一作者单位
出版社
Acta MathematicalSinca,English Series,19(1),97-106,2003.
出版地
出版日期
2003年
月
日
标准书号
介质类型
页数
字数...