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» Geometry and the complexity of matrix multiplication
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COCO
2005
Springer
106views Algorithms» more  COCO 2005»
14 years 1 months ago
The Complexity of the Inertia and Some Closure Properties of GapL
The inertia of an n × n matrix A is defined as the triple (i+(A), i−(A), i0(A)), where i+(A), i−(A), and i0(A) are the number of eigenvalues of A, counting multiplicities, w...
Thanh Minh Hoang, Thomas Thierauf
IPPS
1998
IEEE
13 years 12 months ago
A Flexible Class of Parallel Matrix Multiplication Algorithms
This paper explains why parallel implementation of matrix multiplication--a seemingly simple algorithm that can be expressed as one statement and three nested loops--is complex: P...
John A. Gunnels, Calvin Lin, Greg Morrow, Robert A...
IPPS
1999
IEEE
14 years 20 hour 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
KELSI
2004
Springer
14 years 1 months ago
A Randomized Algorithm for Distance Matrix Calculations in Multiple Sequence Alignment
Multiple sequence alignment (MSA) is a vital problem in biology. Optimal alignment of multiple sequences becomes impractical even for a modest number of sequences [1] since the gen...
Sanguthevar Rajasekaran, Vishal Thapar, Hardik Dav...
ICS
2007
Tsinghua U.
14 years 1 months ago
Adaptive Strassen's matrix multiplication
Strassen’s matrix multiplication (MM) has benefits with respect to any (highly tuned) implementations of MM because Strassen’s reduces the total number of operations. Strasse...
Paolo D'Alberto, Alexandru Nicolau