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» Group-theoretic Algorithms for Matrix Multiplication
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PDPTA
1996
13 years 9 months ago
Hyper-Systolic Matrix Multiplication
A novel parallel algorithm for matrix multiplication is presented. It is based on a 1-D hyper-systolic processor abstraction. The procedure can be implemented on all types of para...
Thomas Lippert, Klaus Schilling
JACM
2002
83views more  JACM 2002»
13 years 8 months ago
Fast context-free grammar parsing requires fast boolean matrix multiplication
In 1975, Valiant showed that Boolean matrix multiplication can be used for parsing contextfree grammars (CFGs), yielding the asympotically fastest (although not practical) CFG par...
Lillian Lee
FOCS
2010
IEEE
13 years 6 months ago
Replacement Paths via Fast Matrix Multiplication
Let G be a directed edge-weighted graph and let P be a shortest path from s to t in G. The replacement paths problem asks to compute, for every edge e on P, the shortest s-to-t pat...
Oren Weimann, Raphael Yuster
IPPS
1999
IEEE
14 years 22 days ago
Parallel Matrix Multiplication on a Linear Array with a Reconfigurable Pipelined Bus System
The known fast sequential algorithms for multiplying two N N matrices (over an arbitrary ring) have time complexity ON , where 2 3. The current best value of is less than 2.3755....
Keqin Li, Victor Y. Pan
SPAA
1999
ACM
14 years 22 days ago
Recursive Array Layouts and Fast Parallel Matrix Multiplication
Matrix multiplication is an important kernel in linear algebra algorithms, and the performance of both serial and parallel implementations is highly dependent on the memory system...
Siddhartha Chatterjee, Alvin R. Lebeck, Praveen K....