FLINT3.7.0-dev

arb_mat_spd_lll_reduce

Synopsis#include <flint/arb_mat.h>
void arb_mat_spd_lll_reduce(fmpz_mat_t U, const arb_mat_t A, double delta, double eta, slong prec)source

Given a symmetric positive definite matrix AA, sets U to an invertible integer matrix such that UAUTU A U^T is close to being LLL-reduced with the parameters δ\delta, η\eta: if arb_mat_spd_get_fmpz_mat succeeds at precision prec, fmpz_lll is applied to the rounded Gram matrix, and otherwise U is the identity. If AA is not finite, U is not modified.

Cite this page

The FLINT team, “arb_mat_spd_lll_reduce (arb_mat.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_mat/arb_mat_spd_lll_reduce.html (generated 2026-11-02).