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» Multivariate Polynomials, Duality, and Structured Matrices
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JC
2000
138views more  JC 2000»
13 years 4 months ago
Multivariate Polynomials, Duality, and Structured Matrices
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
Bernard Mourrain, Victor Y. Pan
ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
13 years 9 months ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
CASC
2005
Springer
202views Mathematics» more  CASC 2005»
13 years 10 months ago
Cayley-Dixon Resultant Matrices of Multi-univariate Composed Polynomials
The behavior of the Cayley-Dixon resultant construction and the structure of Dixon matrices are analyzed for composed polynomial systems constructed from a multivariate system in w...
Arthur D. Chtcherba, Deepak Kapur, Manfred Minimai...
ISSAC
2005
Springer
119views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Computing the multiplicity structure in solving polynomial systems
This paper presents a duality analysis and an algorithm for computing the multiplicity structure of a zero to a polynomial system, while the zero can be exact or approximate with ...
Barry H. Dayton, Zhonggang Zeng