Journal article
Isospectrality and matrices with concentric circular higher rank numerical ranges
Linear algebra and its applications, v 631, pp 174-180
15 Dec 2021
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We characterize under what conditions n×n Hermitian matrices A1 and A2 have the property that the spectrum of costA1+sintA2 is independent of t (thus, the trigonometric pencil costA1+sintA2 is isospectral). One of the characterizations requires the first ⌈n2⌉ higher rank numerical ranges of the matrix A1+iA2 to be circular disks with center 0. Finding the unitary similarity between costA1+sintA2 and, say, A1 involves finding a solution to Lax's equation.
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Details
- Title
- Isospectrality and matrices with concentric circular higher rank numerical ranges
- Creators
- Edward Poon - Embry–Riddle Aeronautical UniversityHugo J. Woerdeman - Drexel University
- Publication Details
- Linear algebra and its applications, v 631, pp 174-180
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000699906300012
- Scopus ID
- 2-s2.0-85114802214
- Other Identifier
- 991019168704204721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied