On the block Eberlein diagonalization method.

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Title: On the block Eberlein diagonalization method.
Authors: Begović Kovač, Erna1 (AUTHOR) ebegovic@fkit.unizg.hr, Perković, Ana1 (AUTHOR) aperkov@fkit.unizg.hr
Source: Linear Algebra & its Applications. Jun2026, Vol. 738, p1-24. 24p.
Subjects: Jacobi method, Complex matrices, Iterative methods (Mathematics), Eigenvalues
Abstract: The Eberlein diagonalization method is an iterative Jacobi-type method for solving the eigenvalue problem of a general complex matrix. In this paper, we develop a block version of the Eberlein method. We prove the global convergence of our block algorithm and present several numerical examples. [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.)
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  Data: The Eberlein diagonalization method is an iterative Jacobi-type method for solving the eigenvalue problem of a general complex matrix. In this paper, we develop a block version of the Eberlein method. We prove the global convergence of our block algorithm and present several numerical examples. [ABSTRACT FROM AUTHOR]
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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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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.laa.2026.02.033
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 24
        StartPage: 1
    Subjects:
      – SubjectFull: Jacobi method
        Type: general
      – SubjectFull: Complex matrices
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Eigenvalues
        Type: general
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      – TitleFull: On the block Eberlein diagonalization method.
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      – PersonEntity:
          Name:
            NameFull: Begović Kovač, Erna
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            NameFull: Perković, Ana
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          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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              Value: 738
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            – TitleFull: Linear Algebra & its Applications
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