Determinant of Matrices with Integer Entries: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Determinant of Matrices with Integer Entries (Determinant of Matrices with Integer Entries)}} == Description == Calculate the determinant of a given matrix with integer matrices. For such matrices, the determinant is also an integer. == Parameters == <pre>n: dimension of matrix</pre> == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name !! Year !! Time !! Space !! Approximation Factor !! Model !! R...") |
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== Parameters == | == Parameters == | ||
n: dimension of matrix | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Revision as of 12:03, 15 February 2023
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
Space Complexity graph
Pareto Decades graph
