Determinant of Matrices with Integer Entries (Determinant of Matrices with Integer Entries)
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Description
Calculate the determinant of a given matrix with integer matrices. For such matrices, the determinant is also an integer.
Parameters
$n$: dimension of matrix
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Bareiss algorithm | 1968 | $O(n^{5} L^{2} (\log(n)$^{2} + L^{2})) | $O(n^{2}(n*log(n)$+nL)) | Exact | Deterministic | Time |
| Bareiss algorithm with fast multiplication | 1968 | $O(n^{4} L (\log(n)$ + L) \log(\log(n) + L)) | $O(n^{2}(n*log(n)$+nL)) | Exact | Deterministic |
Time Complexity Graph
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Space Complexity Graph
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Time-Space Tradeoff
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