HJLS algorithm ( Integer Relation)

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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 bits

(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