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Isotropy groups of the action of orthogonal *congruence on Hermitian matrices.

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Title: Isotropy groups of the action of orthogonal *congruence on Hermitian matrices.
Authors: Starčič, Tadej1,2 (AUTHOR) tadej.starcic@pef.uni-lj.si
Source: Linear Algebra & its Applications. Aug2024, Vol. 694, p101-135. 35p.
Subjects: Toeplitz matrices, Isotropy subgroups, Complex matrices, Equations
Abstract: We present a procedure which enables the computation and the description of structures of isotropy subgroups of the group of complex orthogonal matrices with respect to the action of *congruence on Hermitian matrices. A key ingredient in our proof is an algorithm giving solutions of a certain rectangular block (complex-alternating) upper triangular Toeplitz matrix equation. [ABSTRACT FROM AUTHOR]
Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 177289642
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Isotropy groups of the action of orthogonal *congruence on Hermitian matrices.
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  Data: <searchLink fieldCode="JN" term="%22Linear+Algebra+%26+its+Applications%22">Linear Algebra & its Applications</searchLink>. Aug2024, Vol. 694, p101-135. 35p.
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  Data: <searchLink fieldCode="DE" term="%22Toeplitz+matrices%22">Toeplitz matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Isotropy+subgroups%22">Isotropy subgroups</searchLink><br /><searchLink fieldCode="DE" term="%22Complex+matrices%22">Complex matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink>
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  Data: We present a procedure which enables the computation and the description of structures of isotropy subgroups of the group of complex orthogonal matrices with respect to the action of *congruence on Hermitian matrices. A key ingredient in our proof is an algorithm giving solutions of a certain rectangular block (complex-alternating) upper triangular Toeplitz matrix equation. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.laa.2024.04.013
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      – Code: eng
        Text: English
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        PageCount: 35
        StartPage: 101
    Subjects:
      – SubjectFull: Toeplitz matrices
        Type: general
      – SubjectFull: Isotropy subgroups
        Type: general
      – SubjectFull: Complex matrices
        Type: general
      – SubjectFull: Equations
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      – TitleFull: Isotropy groups of the action of orthogonal *congruence on Hermitian matrices.
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              M: 08
              Text: Aug2024
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              Y: 2024
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