Eigenvalues of Circulant Matrices and Rank-One Perturbations: A Survey
Abstract
This work provides a concise survey of the eigenvalue structure of circulant matrices and their rank-one perturbations. We review the spectral properties of circulant matrices and illustrate how rank-one updates affect their eigenvalues through explicit low-dimensional examples. The presentation is intended to be accessible to graduate students and researchers interested in matrix analysis and spectral theory.
Fields of Study & Subjects
Matrix Theory and Algorithms
Spectral Theory in Mathematical Physics
Graph theory and applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 12 January 2026
- Document type
- Preprint