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

From Algorithm Wiki
Jump to navigation Jump to search
(Created page with "== 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")
 
No edit summary
Line 1: Line 1:
== Time Complexity ==  
== Time Complexity ==  


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


== Space Complexity ==  
== Space Complexity ==  
Line 7: Line 7:
$O(n^{2})$ words
$O(n^{2})$ words


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


== Description ==  
== Description ==  
Line 27: Line 27:
== Year ==  
== Year ==  


1969
1986


== Reference ==  
== Reference ==  


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

Revision as of 11:32, 15 February 2023

Time Complexity

$O(n^{(log54/log5)}) ~ O(n^{({2.4785})})$

Space Complexity

$O(n^{2})$ words

(Re-use of space in recursive branches)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

1986

Reference

https://ieeexplore.ieee.org/abstract/document/4568194