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LATIN
2010
Springer
14 years 2 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
CORR
2011
Springer
175views Education» more  CORR 2011»
13 years 3 months ago
A Matrix Hyperbolic Cosine Algorithm and Applications
Wigderson and Xiao presented an efficient derandomization of the matrix Chernoff bound using the method of pessimistic estimators [WX08]. Building on their construction, we prese...
Anastasios Zouzias
PC
2008
111views Management» more  PC 2008»
13 years 8 months ago
A partitioning algorithm for block-diagonal matrices with overlap
We present a graph partitioning algorithm that aims at partitioning a sparse matrix into a block-diagonal form, such that any two consecutive blocks overlap. We denote this form o...
Guy Antoine Atenekeng Kahou, Laura Grigori, Masha ...
FOCS
2005
IEEE
14 years 2 months ago
Group-theoretic Algorithms for Matrix Multiplication
We further develop the group-theoretic approach to fast matrix multiplication introduced by Cohn and Umans, and for the first time use it to derive algorithms asymptotically fast...
Henry Cohn, Robert D. Kleinberg, Balázs Sze...
CORR
2006
Springer
151views Education» more  CORR 2006»
13 years 8 months ago
Fast matrix multiplication is stable
We perform forward error analysis for a large class of recursive matrix multiplication algorithms in the spirit of [D. Bini and G. Lotti, Stability of fast algorithms for matrix m...
James Demmel, Ioana Dumitriu, Olga Holtz, Robert K...