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TOMS
2008
120views more  TOMS 2008»
13 years 7 months ago
Families of algorithms related to the inversion of a Symmetric Positive Definite matrix
We present families of algorithms for operations related to the computation of the inverse of a Symmetric Positive Definite (SPD) matrix: Cholesky factorization, inversion of a tr...
Paolo Bientinesi, Brian C. Gunter, Robert A. van d...
TSP
2008
154views more  TSP 2008»
13 years 7 months ago
Algebraic Signal Processing Theory: 1-D Space
In our paper titled "Algebraic Signal Processing Theory: Foundation and 1-D Time" appearing in this issue of the IEEE TRANSACTIONS ON SIGNAL PROCESSING, we presented the ...
Markus Püschel, José M. F. Moura
IWCIA
2004
Springer
14 years 1 months ago
Tensor Algebra: A Combinatorial Approach to the Projective Geometry of Figures
Abstract. This paper explores the combinatorial aspects of symmetric and antisymmetric forms represented in tensor algebra. The development of geometric perspective gained from ten...
David N. R. McKinnon, Brian C. Lovell
OL
2008
54views more  OL 2008»
13 years 7 months ago
On hyperbolicity cones associated with elementary symmetric polynomials
Elementary symmetric polynomials can be thought of as derivative polynomials of En(x) = i=1,...,n xi. Their associated hyperbolicity cones give a natural sequence of relaxations f...
Yuriy Zinchenko
COMPUTING
2006
126views more  COMPUTING 2006»
13 years 7 months 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