From the 1 of 2 linked papers with an AI index.
2 papers
math.NA2026
Convergence rates for pivoted QR and LU
Marc Aurèle Gilles
The paper analyzes pivoted QR and LU decompositions, showing that under approximate greedy pivoting their error can be bounded by determinants related to singular values, and deriv…
math.NA2026
Low-Rank Approximation by Randomly Pivoted LU
Marc Aurèle Gilles, Heather Wilber
The low-rank approximation properties of Randomly Pivoted LU (RPLU), a variant of Gaussian elimination where pivots are sampled proportional to the squared entries of the Schur com…