4 papers
Linear Systems and Eigenvalue Problems: Open Questions from a Simons Workshop
Noah Amsel, Yves Baumann, Paul Beckman +36
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…
Matrix Factorizations with Uniformly Random Pivoting
Isabel Detherage, Rikhav Shah
This paper highlights a formal connection between two families of widely used matrix factorization algorithms in numerical linear algebra. One family consists of the Jacobi eigenva…
High-Performance Imaging in a Dilution Refrigerator
Timo Eikelmann, Mara Brinkmann, Leonie Eggers +7
Nanophotonic light-matter interfaces hold great promise for quantum technologies. Enhancing local electromagnetic fields, they enable highly efficient detectors, can help realize o…
A Kaczmarz-Inspired Method for Orthogonalization
Rikhav Shah, Isabel Detherage
This paper asks if the following iterative procedure approximately orthogonalizes a set of linearly independent unit vectors while preserving their span: in each iteration, acc…