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

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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).