3 papers
math.NA2026
Computing Strong Rank-Revealing Factorizations for Matrices with Orthonormal Rows
Anil Damle
We show that a pivoting strategy due to Stewart (based on work by Bischof) computes a strong rank-revealing factorization when applied to a matrix with orthonormal rows. When paire…
math.NA2026
Linear Systems and Eigenvalue Problems: Open Questions from a Simons Workshop
Noah Amsel, Yves Baumann, Paul Beckman +33
This document presents a series of open questions arising in matrix computations, i.e., the numerical solution of linear algebra problems. It is a result of working groups at the w…
math.NA2024
How to reveal the rank of a matrix?
Anil Damle, Silke Glas, Alex Townsend +1
We study algorithms called rank-revealers that reveal a matrix's rank structure. Such algorithms form a fundamental component in matrix compression, singular value estimation, and…