Bareiss algorithm (Determinant of Matrices with Integer Entries Determinant of Matrices with Integer Entries): Difference between revisions
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(Created page with "== Time Complexity == $O(n^{5}L^{2} (log(n)$^{2} + L^{2})) == 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 == https://www.ams.org/journals/mcom/1968-22-103/S0025-5718-1968-0226829-0...") |
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== Time Complexity == | == Time Complexity == | ||
$O(n^{5}L^{2} (log(n)$^{2} + L^{2})) | $O(n^{5} L^{2} (\log(n)$^{2} + L^{2})) | ||
== Space Complexity == | == Space Complexity == | ||
Latest revision as of 08:50, 10 April 2023
Time Complexity
$O(n^{5} L^{2} (\log(n)$^{2} + L^{2}))
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