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» On Chebyshev Polynomials of Matrices
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JCT
2011
85views more  JCT 2011»
13 years 2 months ago
Relatively prime polynomials and nonsingular Hankel matrices over finite fields
Mario García-Armas, Sudhir R. Ghorpade, Sam...
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
14 years 1 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet
DATE
2002
IEEE
87views Hardware» more  DATE 2002»
14 years 10 days ago
Model Reduction in the Time-Domain Using Laguerre Polynomials and Krylov Methods
We present a new passive model reduction algorithm based on the Laguerre expansion of the time response of interconnect networks. We derive expressions for the Laguerre coefficie...
Yiran Chen, Venkataramanan Balakrishnan, Cheng-Kok...
SIAMMAX
2010
111views more  SIAMMAX 2010»
13 years 2 months ago
Stochastic Galerkin Matrices
We investigate the structural, spectral, and sparsity properties of Stochastic Galerkin matrices as they arise in the discretization of linear differential equations with random co...
Oliver G. Ernst, Elisabeth Ullmann
JAT
2008
56views more  JAT 2008»
13 years 7 months ago
Some examples of orthogonal matrix polynomials satisfying odd order differential equations
It is well known that if a finite order linear differential operator with polynomial coefficients has as eigenfunctions a sequence of orthogonal polynomials with respect to a posi...
Antonio J. Durán Guardeño, Manuel D....