Kyle Bierly

collaborators

2 papers

math.NA2026

The Normal Procrustes Problem: A Riemannian Optimization Approach

Kyle Bierly

For given $m \times n$ data matrices $X, Y$ , we investigate the Normal Procrustes Problem---the least squares optimization problem that aims to minimize $∥ A X - Y ∥_{F}^{2}$ , where $A$ i…

math.FA2025

The linear targeting problem

Kyle Bierly, Stephan Ramon Garcia, Roger A. Horn

For given real or complex $m \times n$ data matrices $X$ , $Y$ , we investigate when there is a matrix $A$ such that $A X = Y$ , and $A$ is invertible, Hermitian, positive (semi)defini…