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» Computing Minimal Polynomials of Matrices
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107
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ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
15 years 4 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
87
Voted
AUTOMATICA
2006
70views more  AUTOMATICA 2006»
15 years 14 days ago
A Toeplitz algorithm for polynomial J-spectral factorization
A block Toeplitz algorithm is proposed to perform the J-spectral factorization of a para-Hermitian polynomial matrix. The input matrix can be singular or indefinite, and it can ha...
Juan Carlos Zúñiga, Didier Henrion
96
Voted
CORR
2006
Springer
69views Education» more  CORR 2006»
15 years 13 days ago
Bounds on the coefficients of the characteristic and minimal polynomials
ABSTRACT. This note presents absolute bounds on the size of the coefficients of the characteristic and minimal polynomials depending on the size of the coefficients of the associat...
Jean-Guillaume Dumas
108
Voted
COMPUTING
2006
126views more  COMPUTING 2006»
15 years 13 days ago
Algebraic Multigrid Based on Computational Molecules, 1: Scalar Elliptic Problems
We consider the problem of splitting a symmetric positive definite (SPD) stiffness matrix A arising from finite element discretization into the sum of edge matrices thereby assumi...
J. K. Kraus, Josef Schicho
COMBINATORICS
2000
90views more  COMBINATORICS 2000»
15 years 7 days ago
Determinantal Expression and Recursion for Jack Polynomials
We describe matrices whose determinants are the Jack polynomials expanded in terms of the monomial basis. The top row of such a matrix is a list of monomial functions, the entries...
Luc Lapointe, Alain Lascoux, Jennifer Morse