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» Geometry and the complexity of matrix multiplication
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SODA
2012
ACM
227views Algorithms» more  SODA 2012»
11 years 10 months ago
Improved output-sensitive quantum algorithms for Boolean matrix multiplication
We present new quantum algorithms for Boolean Matrix Multiplication in both the time complexity and the query complexity settings. As far as time complexity is concerned, our resu...
François Le Gall
ACSC
2004
IEEE
13 years 11 months ago
On Improving the Memory Access Patterns During The Execution of Strassen's Matrix Multiplication Algorithm
Matrix multiplication is a basic computing operation. Whereas it is basic, it is also very expensive with a straight forward technique of O(N3 ) runtime complexity. More complex s...
Hossam A. ElGindy, George Ferizis
TPDS
2002
94views more  TPDS 2002»
13 years 7 months ago
Recursive Array Layouts and Fast Matrix Multiplication
The performance of both serial and parallel implementations of matrix multiplication is highly sensitive to memory system behavior. False sharing and cache conflicts cause traditi...
Siddhartha Chatterjee, Alvin R. Lebeck, Praveen K....
JACM
2002
83views more  JACM 2002»
13 years 7 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
ENTCS
2002
207views more  ENTCS 2002»
13 years 7 months ago
Efficient Algorithms for the Maximum Subarray Problem by Distance Matrix Multiplication
We design an efficient algorithm that maximizes the sum of array elements of a subarray of a two-dimensional array. The solution can be used to find the most promising array porti...
Tadao Takaoka