Academic Journal
Προβολή σε EDS

A relaxed gradient based iterative algorithm of the generalized Sylvester-conjugate matrix equation over centro-symmetric and centro-Hermitian matrices.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: A relaxed gradient based iterative algorithm of the generalized Sylvester-conjugate matrix equation over centro-symmetric and centro-Hermitian matrices.
Συγγραφείς: El-Shazly, Naglaa M, Ramadan, Mohamed A, El-Sharway, Marwa H
Πηγή: Journal of Vibration & Control; Oct2023, Vol. 29 Issue 19/20, p4396-4412, 17p
Θεματικοί όροι: Hermitian forms, Matrices (Mathematics), Sylvester matrix equations, Equations
Περίληψη: The main purpose of this paper is to establish two relaxed gradient-based iterative (RGI) algorithms extending the Jacobi and Gauss–Seidel iterations for solving the generalized Sylvester-conjugate matrix equation A X B + C X ¯ D = F , over centro-symmetric, and centro-Hermitian matrices. It is shown that the iterative methods, respectively, converge to the centro-symmetric and centro-Hermitian solutions for any initial centro-symmetric and centro-Hermitian matrices. We report numerical tests to show the effectiveness of the proposed approaches. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. 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.)
Βάση Δεδομένων: Complementary Index
FullText Links:
  – Type: other
Text:
  Availability: 0
Header DbId: edb
DbLabel: Complementary Index
An: 172446948
RelevancyScore: 938
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 937.875122070313
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: A relaxed gradient based iterative algorithm of the generalized Sylvester-conjugate matrix equation over centro-symmetric and centro-Hermitian matrices.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22El-Shazly%2C+Naglaa+M%22">El-Shazly, Naglaa M</searchLink><br /><searchLink fieldCode="AR" term="%22Ramadan%2C+Mohamed+A%22">Ramadan, Mohamed A</searchLink><br /><searchLink fieldCode="AR" term="%22El-Sharway%2C+Marwa+H%22">El-Sharway, Marwa H</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: Journal of Vibration & Control; Oct2023, Vol. 29 Issue 19/20, p4396-4412, 17p
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Hermitian+forms%22">Hermitian forms</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Sylvester+matrix+equations%22">Sylvester matrix equations</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The main purpose of this paper is to establish two relaxed gradient-based iterative (RGI) algorithms extending the Jacobi and Gauss–Seidel iterations for solving the generalized Sylvester-conjugate matrix equation A X B + C X ¯ D = F , over centro-symmetric, and centro-Hermitian matrices. It is shown that the iterative methods, respectively, converge to the centro-symmetric and centro-Hermitian solutions for any initial centro-symmetric and centro-Hermitian matrices. We report numerical tests to show the effectiveness of the proposed approaches. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. 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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edb&AN=172446948
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1177/10775463221117861
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 4396
    Subjects:
      – SubjectFull: Hermitian forms
        Type: general
      – SubjectFull: Matrices (Mathematics)
        Type: general
      – SubjectFull: Sylvester matrix equations
        Type: general
      – SubjectFull: Equations
        Type: general
    Titles:
      – TitleFull: A relaxed gradient based iterative algorithm of the generalized Sylvester-conjugate matrix equation over centro-symmetric and centro-Hermitian matrices.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: El-Shazly, Naglaa M
      – PersonEntity:
          Name:
            NameFull: Ramadan, Mohamed A
      – PersonEntity:
          Name:
            NameFull: El-Sharway, Marwa H
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 10
              Text: Oct2023
              Type: published
              Y: 2023
          Identifiers:
            – Type: issn-print
              Value: 10775463
          Numbering:
            – Type: volume
              Value: 29
            – Type: issue
              Value: 19/20
          Titles:
            – TitleFull: Journal of Vibration & Control
              Type: main
ResultId 1