cs.DS, cs.LG, cs.NA, math.NA, math.OC

Towards Universal Convergence of Backward Error in Linear System Solvers

arXiv:2604.16075v1 Announce Type: cross
Abstract: The quest for an algorithm that solves an $n\times n$ linear system in $O(n^2)$ time complexity, or $O(n^2 \text{poly}(1/\epsilon))$ when solving up to $\epsilon$ relative error, is a long-standing ope…