Correction to "On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix"
Weiss, Stephan and Pestana, Jennifer and Proudler, Ian K. and Coutts, Fraser K. (2018) Correction to "On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix". IEEE Transactions on Signal Processing, 66 (23). pp. 6325-6327. ISSN 1053-587X (https://doi.org/10.1109/TSP.2018.2877142)
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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).
ORCID iDs
Weiss, Stephan ORCID: https://orcid.org/0000-0002-3486-7206, Pestana, Jennifer ORCID: https://orcid.org/0000-0003-1527-3178, Proudler, Ian K. and Coutts, Fraser K. ORCID: https://orcid.org/0000-0003-2299-2648;-
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Item type: Article ID code: 65776 Dates: DateEvent1 December 2018Published1 November 2018Published Online15 October 2018AcceptedSubjects: Technology > Electrical engineering. Electronics Nuclear engineering Department: Faculty of Engineering > Electronic and Electrical Engineering
Faculty of Science > Mathematics and StatisticsDepositing user: Pure Administrator Date deposited: 15 Oct 2018 11:29 Last modified: 04 Nov 2024 01:44 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/65776