Bareiss algorithm with fast multiplication (Determinant of Matrices with Integer Entries Determinant of Matrices with Integer Entries)

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Revision as of 11:17, 15 February 2023 by Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{4}L(log(n)$ + L)log(log(n) + L)) == Space Complexity == $O(n^{2}(n*log(n)$+nL)) bits (Keeps track of $O(n^2)$ entries that have absolute value at most $O(n^{(n/2)}2^{(nL)})$) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM? (without O(1) multiplication) == Year == 1968 == Reference == -")
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Time Complexity

$O(n^{4}L(log(n)$ + L)log(log(n) + L))

Space Complexity

$O(n^{2}(n*log(n)$+nL)) bits

(Keeps track of $O(n^2)$ entries that have absolute value at most $O(n^{(n/2)}2^{(nL)})$)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM? (without O(1) multiplication)

Year

1968

Reference

-