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» The Polynomial Method for Random Matrices
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ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
AMC
2010
86views more  AMC 2010»
13 years 5 months ago
On properties of cell matrices
In this paper properties of cell matrices are studied. A determinant of such a matrix is given in a closed form. In the proof a general method for determining a determinant of a s...
Gasper Jaklic, Jolanda Modic
JAT
2010
70views more  JAT 2010»
13 years 3 months ago
Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices
We generally study the density of eigenvalues in unitary ensembles of random matrices from the recurrence coefficients with regularly varying conditions for the orthogonal polynomi...
Dang-Zheng Liu, Zheng-Dong Wang, Kui-Hua Yan
SIAMMAX
2010
103views more  SIAMMAX 2010»
12 years 11 months ago
On Chebyshev Polynomials of Matrices
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is u...
Vance Faber, Jörg Liesen, Petr Tichý
DATE
2002
IEEE
87views Hardware» more  DATE 2002»
13 years 9 months 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...