Projects per year
Abstract
In Weiss (2018), we stated that any positive semi-definite parahermitian matrix R(z): C→CMxM that is analytic on an annulus containing at least the unit circle will admit a decomposition with analytic eigenvalues and analytic eigenvectors. In this note, we further qualify this statement, and define the class of matrices that fulfills the above properties yet does not admit an analytic EVD. We follow the
notation in Weiss (2018).
notation in Weiss (2018).
Original language | English |
---|---|
Pages (from-to) | 6325-6327 |
Number of pages | 3 |
Journal | IEEE Transactions on Signal Processing |
Volume | 66 |
Issue number | 23 |
Early online date | 1 Nov 2018 |
DOIs | |
Publication status | Published - 1 Dec 2018 |
Keywords
- hermitian matrix
- parahermitian matrix
- eigenvalue decomposition algorithm
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Projects
- 1 Finished
-
Signal Processing in the Information Age (UDRC III)
Weiss, S. (Principal Investigator) & Stankovic, V. (Co-investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/07/18 → 31/03/24
Project: Research
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Scalable extraction of analytic eigenvalues from a parahermitian matrix
Khattak, F. A., Proudler, I. K. & Weiss, S., 30 Aug 2024, 32nd European Signal Processing Conference: EUSIPCO 2024. Piscataway, NJ: IEEE, p. 1317-1321 5 p. 2031Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book
Open AccessFile7 Downloads (Pure) -
Polynomial eigenvalue decomposition for multichannel broadband signal processing: a mathematical technique offering new insights and solutions
Neo, V. W., Redif, S., McWhirter, J. G., Pestana, J., Proudler, I. K., Weiss, S. & Naylor, P. A., 8 Nov 2023, In: IEEE Signal Processing Magazine. 40, 7, p. 18-37 20 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile11 Citations (Scopus)146 Downloads (Pure) -
Eigenvalue decomposition of a parahermitian matrix: extraction of analytic Eigenvectors
Weiss, S., Proudler, I., Coutts, F. K. & Khattak, F. A., 24 Apr 2023, (E-pub ahead of print) In: IEEE Transactions on Signal Processing. 71, p. 1642-1656 15 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile15 Citations (Scopus)82 Downloads (Pure)