Correction to "On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix"

Stephan Weiss; Jennifer Pestana; Ian K. Proudler; Fraser K. Coutts

doi:10.1109/TSP.2018.2877142

Correction to "On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix"

Stephan Weiss, Jennifer Pestana, Ian K. Proudler, Fraser K. Coutts

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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Abstract

In Weiss (2018), we stated that any positive semi-definite parahermitian matrix R(z): C→C^MxM 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).

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	https://doi.org/10.1109/TSP.2018.2877142
Publication status	Published - 1 Dec 2018

Keywords

hermitian matrix
parahermitian matrix
eigenvalue decomposition algorithm

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10.1109/TSP.2018.2877142Licence: CC BY 3.0

Weiss-etal-TSP2018-Correction-to-On-the-existence-and-uniqueness-of-the-eigenvalueFinal published version, 334 KBLicence: CC BY 3.0

Cite this

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title = "Correction to {"}On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix{"}",

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 thenotation in Weiss (2018).",

keywords = "hermitian matrix, parahermitian matrix, eigenvalue decomposition algorithm",

author = "Stephan Weiss and Jennifer Pestana and Proudler, {Ian K.} and Coutts, {Fraser K.}",

year = "2018",

month = dec,

day = "1",

doi = "10.1109/TSP.2018.2877142",

language = "English",

volume = "66",

pages = "6325--6327",

journal = "IEEE Transactions on Signal Processing",

issn = "1053-587X",

number = "23",

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TY - JOUR

T1 - Correction to "On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix"

AU - Weiss, Stephan

AU - Pestana, Jennifer

AU - Proudler, Ian K.

AU - Coutts, Fraser K.

PY - 2018/12/1

Y1 - 2018/12/1

N2 - 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 thenotation in Weiss (2018).

AB - 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 thenotation in Weiss (2018).

KW - hermitian matrix

KW - parahermitian matrix

KW - eigenvalue decomposition algorithm

UR - https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78

UR - https://doi.org/10.1109/TSP.2018.2812747

UR - https://strathprints.strath.ac.uk/63359/

U2 - 10.1109/TSP.2018.2877142

DO - 10.1109/TSP.2018.2877142

M3 - Article

VL - 66

SP - 6325

EP - 6327

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

SN - 1053-587X

IS - 23

ER -

Correction to "On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix"

Abstract

Keywords

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Stephan Weiss

Signal Processing in the Information Age (UDRC III)

Space-time covariance matrix estimation: loss of algebraic multiplicities of Eigenvalues

On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix

Cite this

Correction to "On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix"

Abstract

Keywords

Access to Document

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Fingerprint

Profiles

Stephan Weiss

Projects

Signal Processing in the Information Age (UDRC III)

Research output

Space-time covariance matrix estimation: loss of algebraic multiplicities of Eigenvalues

On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix

Cite this