arb_mat_inv_cho_precomp, arb_mat_spd_inv
Synopsis
#include <flint/arb_mat.h>Set X to A^{-1} for a symmetric positive definite A, given its Cholesky factor L (assumed valid) or computing it. The inverse is obtained by the method of [Kri2013], which computes fewer intermediate results than solving AX = I. arb_mat_spd_inv returns zero (with X undefined) if the Cholesky decomposition fails.
Guides#
References#
- [Kri2013] A. Krishnamoorthy and D. Menon, "Matrix Inversion Using Cholesky Decomposition" Proc. of the International Conference on Signal Processing Algorithms, Architectures, Arrangements, and Applications (SPA-2013), pp. 70-72, 2013.
Cite this page
The FLINT team, “arb_mat_inv_cho_precomp, arb_mat_spd_inv (arb_mat.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_mat/arb_mat_inv_cho_precomp.html (generated 2026-10-20).
@misc{flint-doc-arb-mat-arb-mat-inv-cho-precomp,
author = {{The FLINT team}},
title = {{arb\_mat\_inv\_cho\_precomp, arb\_mat\_spd\_inv (arb\_mat.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb_mat/arb_mat_inv_cho_precomp.html},
note = {Generated 2026-10-20}
}