Published In
Arxiv
Document Type
Pre-Print
Publication Date
3-2022
Subjects
Eigenvectors, Sonar arrays, Acoustic arrays, Acoustic signal processing
Abstract
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.
Locate the Document
DOI
10.48550/arXiv.2105.14299
Persistent Identifier
https://archives.pdx.edu/ds/psu/37308
Citation Details
Published as: Ovall, J., & Reid, R. (2021). An algorithm for identifying eigenvectors exhibiting strong spatial localization. arXiv preprint arXiv:2105.14299.
Description
This is the author’s version of a work. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document.