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BMCBI
2010
130views more  BMCBI 2010»
13 years 7 months ago
Amino acid "little Big Bang": Representing amino acid substitution matrices as dot products of Euclidian vectors
Background: Sequence comparisons make use of a one-letter representation for amino acids, the necessary quantitative information being supplied by the substitution matrices. This ...
Karel Zimmermann, Jean-François Gibrat
COMBINATORICS
2007
66views more  COMBINATORICS 2007»
13 years 7 months ago
The Tripartite Separability of Density Matrices of Graphs
The density matrix of a graph is the combinatorial laplacian matrix of a graph normalized to have unit trace. In this paper we generalize the entanglement properties of mixed dens...
Zhen Wang, Zhixi Wang
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
SIAMMAX
2010
103views more  SIAMMAX 2010»
13 years 2 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
MOC
1998
107views more  MOC 1998»
13 years 7 months ago
A new parallel chasing algorithm for transforming arrowhead matrices to tridiagonal form
Rutishauser, Gragg and Harrod and finally H.Y. Zha used the same class of chasing algorithms for transforming arrowhead matrices to tridiagonal form. Using a graphical theoretical...
Suely Oliveira