Strassen's algorithm (Matrix Multiplication Matrix Product): Difference between revisions

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== Time Complexity ==  
== Time Complexity ==  


$O(n^{(log54/log5)}) ~ O(n^{({2.4785})})$
$O(n^{(log7/log2)}) ~ O(n^{2.{80}7})$


== Space Complexity ==  
== Space Complexity ==  
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$O(n^{2})$ words
$O(n^{2})$ words


(Re-use of space in recursive branches)
(http://www.cs.cmu.edu/afs/cs/academic/class/15750-s17/ScribeNotes/lecture1.pdf)


== Description ==  
== Description ==  
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== Year ==  
== Year ==  


1986
1969


== Reference ==  
== Reference ==  


https://ieeexplore.ieee.org/abstract/document/4568194
https://link.springer.com/article/10.1007%2FBF02165411

Revision as of 10:17, 28 April 2023

Time Complexity

$O(n^{(log7/log2)}) ~ O(n^{2.{80}7})$

Space Complexity

$O(n^{2})$ words

(http://www.cs.cmu.edu/afs/cs/academic/class/15750-s17/ScribeNotes/lecture1.pdf)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

1969

Reference

https://link.springer.com/article/10.1007%2FBF02165411