2 papers
math.NA2026
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…
math.PR2025
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…