The triangulant
We introduce the triangulant of two matrices, and relate it to the existence of orthogonal eigenvectors. We also use it for a new characterization of mutually unbiased bases. Generalizing the notion, we introduce higher order triangulants of two matrices, and relate them to the existence of nontrivially intersecting invariant subspaces of complementary dimensions.
Authors
- Péter E. Frenkel (ORCID: https://orcid.org/0000-0003-2672-8772)
- Tamás Bencze
Institutions
- Eötvös Loránd University (HU)
- HUN-REN Alfréd Rényi Institute of Mathematics (HU)
Publication Details
- Journal
- Linear Algebra and its Applications
- Published
- 2025-01-10
- DOI
- https://doi.org/10.1016/j.laa.2025.01.004
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Nemzeti Kutatási Fejlesztési és Innovációs Hivatal