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math.NA2026
A Geometric View of Adaptive Cross Approximation via Exterior Algebra
Trevor Loe, Longxiu Huang, Deanna Needell
Adaptive cross approximation (ACA) constructs low-rank CUR approximations from selected rows and columns of a matrix, making it attractive when individual entries are inexpensive t…
math.NA2026
Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement
Michał Dereziński, Ethan N. Epperly, Deanna Needell +1
The randomized Kaczmarz method and its accelerated variants are a powerful class of iterative methods for solving large-scale linear systems, offering guaranteed convergence with l…