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LATIN
2010
Springer
13 years 11 months ago
The I/O Complexity of Sparse Matrix Dense Matrix Multiplication
We consider the multiplication of a sparse N × N matrix A with a dense N × N matrix B in the I/O model. We determine the worst-case non-uniform complexity of this task up to a c...
Gero Greiner, Riko Jacob
ICCS
2001
Springer
13 years 9 months ago
Optimizing Sparse Matrix Computations for Register Reuse in SPARSITY
Abstract. Sparse matrix-vector multiplication is an important computational kernel that tends to perform poorly on modern processors, largely because of its high ratio of memory op...
Eun-Jin Im, Katherine A. Yelick
CORR
2007
Springer
75views Education» more  CORR 2007»
13 years 4 months ago
On Undetected Error Probability of Binary Matrix Ensembles
Abstract— In this paper, analysis on undetected error probability of ensembles of m × n binary matricies is presented. Two ensembles are considered: One is an ensemble of dense ...
Tadashi Wadayama
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
PC
2002
158views Management» more  PC 2002»
13 years 4 months ago
On parallel block algorithms for exact triangularizations
We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
Jean-Guillaume Dumas, Jean-Louis Roch