Journal article
Partial isospectrality of a matrix pencil and circularity of the c-numerical range
Linear algebra and its applications, v 689, pp 247-259
15 May 2024
Abstract
We study when functions of the eigenvalues of the pencil(1)Re(e−itA)=cos(t)ReA+sin(t)ImA are constant functions of t. The results are then applied to questions regarding the numerical range, the higher rank numerical range and the c-numerical range, and we derive trace type conditions for when these numerical ranges are disks centered at 0. The theory of symmetric polynomials plays an important part in the proofs.
Metrics
7 Record Views
Details
- Title
- Partial isospectrality of a matrix pencil and circularity of the c-numerical range
- Creators
- Alma van der Merwe - University of the WitwatersrandMadelein van Straaten - North-West UniversityHugo J. Woerdeman - Drexel University
- Publication Details
- Linear algebra and its applications, v 689, pp 247-259
- Publisher
- Elsevier
- Grant note
- DMS 2000037 / National Science Foundation (https://doi.org/10.13039/100000001)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001221927100001
- Scopus ID
- 2-s2.0-85187791304
- Other Identifier
- 991021866369104721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied