HJLS algorithm ( Integer Relation)

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Revision as of 10:39, 15 February 2023 by Admin (talk | contribs) (Created page with "== Time Complexity == $O(n^{3}(n+k)$) == Space Complexity == $O(n^{2})$ -- but requires infinite precision with large n or else it becomes unstable (Derived: Store Gram-Schmidt basis vectors b_i (n n-dimensional vectors) and Gram-Schmidt numbers \mu_{i,j} (i and j both from 1 to n), not sure how to take into account the "bit complexity" part) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == bit...")
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Time Complexity

$O(n^{3}(n+k)$)

Space Complexity

$O(n^{2})$ -- but requires infinite precision with large n or else it becomes unstable

(Derived: Store Gram-Schmidt basis vectors b_i (n n-dimensional vectors) and Gram-Schmidt numbers \mu_{i,j} (i and j both from 1 to n), not sure how to take into account the "bit complexity" part)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

bit complexity

Year

1986

Reference

https://epubs.siam.org/doi/pdf/10.1137/0218059