Furer's algorithm ( Multiplication): Difference between revisions

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(Created page with "== Time Complexity == $O(nlogn {2}^{O(log*n)$}) == Space Complexity == $O(n)$ auxiliary? bits (Depends on DFT/FFT algorithm (though original source describes its own algorithm)? but all vectors/numbers are of size O(n) and there are a constant number of such objects) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM? == Year == 2007 == Reference == https://web.archive.org/web/201304...")
 
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== Time Complexity ==  
== Time Complexity ==  


$O(nlogn {2}^{O(log*n)$})
$O(n \log n {2}^{O(\log*n)})$


== Space Complexity ==  
== Space Complexity ==  

Latest revision as of 07:55, 10 April 2023

Time Complexity

$O(n \log n {2}^{O(\log*n)})$

Space Complexity

$O(n)$ auxiliary? bits

(Depends on DFT/FFT algorithm (though original source describes its own algorithm)? but all vectors/numbers are of size O(n) and there are a constant number of such objects)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM?

Year

2007

Reference

https://web.archive.org/web/20130425232048/http://www.cse.psu.edu/~furer/Papers/mult.pdf