4 papers
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…
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…
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…
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…