2021/05/29 by Jeffrey S. Ovall, Ovall, Jeffrey, Robyn Reid +1
Computer Science · Engineering · Physics and Astronomy · #35P15 #47A75 (Secondary) #65N25 (Primary) #Advanced Fiber Optic Sensors #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Orbital Angular Momentum in Optics
paper · pdf · doi:10.48550/arxiv.2105.14299
openalex publication_date 2021/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce an approach for exploring eigenvector localization phenomena for a class of (unbounded) selfadjoint operators. More specifically, given a target region and a tolerance, the algorithm identifies candidate eigenpairs for which the eigenvector is expected to be localized in the target region to within that tolerance. Theoretical results, together with detailed numerical illustrations of them, are provided that support our algorithm. A partial realization of the algorithm is described and tested, providing a proof of concept for the approach.