Academic Journal
Solving a system of complex matrix equations using a gradient-based method and its application in image restoration.
| Τίτλος: | Solving a system of complex matrix equations using a gradient-based method and its application in image restoration. |
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| Συγγραφείς: | Shirilord, Akbar, Dehghan, Mehdi |
| Πηγή: | Numerical Algorithms; Apr2025, Vol. 98 Issue 4, p1849-1896, 48p |
| Θεματικοί όροι: | Systems theory, Complex matrices, Computational mathematics, Image reconstruction, Constrained optimization |
| Περίληψη: | This study presents some new iterative algorithms based on the gradient method to solve general constrained systems of conjugate transpose matrix equations for both real and complex matrices. In addition, we analyze the convergence properties of these methods and provide numerical techniques to determine the solutions. Then we prove that the optimal parameters of the new algorithm satisfy a constrained optimization problem. The effectiveness of the proposed iterative methods is demonstrated through various numerical examples employed in this study and compared the results by some existing algorithms. [ABSTRACT FROM AUTHOR] |
| Copyright of Numerical Algorithms is the property of Springer Nature 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 CustomLinks: – Url: https://dx.doi.org/doi:10.1007/s11075-024-01856-2 Name: EDS - Springer Nature Journals (s7799221) Category: fullText Text: View record at Springer |
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| Items | – Name: Title Label: Title Group: Ti Data: Solving a system of complex matrix equations using a gradient-based method and its application in image restoration. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Shirilord%2C+Akbar%22">Shirilord, Akbar</searchLink><br /><searchLink fieldCode="AR" term="%22Dehghan%2C+Mehdi%22">Dehghan, Mehdi</searchLink> – Name: TitleSource Label: Source Group: Src Data: Numerical Algorithms; Apr2025, Vol. 98 Issue 4, p1849-1896, 48p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Systems+theory%22">Systems theory</searchLink><br /><searchLink fieldCode="DE" term="%22Complex+matrices%22">Complex matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+mathematics%22">Computational mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Image+reconstruction%22">Image reconstruction</searchLink><br /><searchLink fieldCode="DE" term="%22Constrained+optimization%22">Constrained optimization</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This study presents some new iterative algorithms based on the gradient method to solve general constrained systems of conjugate transpose matrix equations for both real and complex matrices. In addition, we analyze the convergence properties of these methods and provide numerical techniques to determine the solutions. Then we prove that the optimal parameters of the new algorithm satisfy a constrained optimization problem. The effectiveness of the proposed iterative methods is demonstrated through various numerical examples employed in this study and compared the results by some existing algorithms. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Numerical Algorithms is the property of Springer Nature 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: BibEntity: Identifiers: – Type: doi Value: 10.1007/s11075-024-01856-2 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 48 StartPage: 1849 Subjects: – SubjectFull: Systems theory Type: general – SubjectFull: Complex matrices Type: general – SubjectFull: Computational mathematics Type: general – SubjectFull: Image reconstruction Type: general – SubjectFull: Constrained optimization Type: general Titles: – TitleFull: Solving a system of complex matrix equations using a gradient-based method and its application in image restoration. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Shirilord, Akbar – PersonEntity: Name: NameFull: Dehghan, Mehdi IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 10171398 Numbering: – Type: volume Value: 98 – Type: issue Value: 4 Titles: – TitleFull: Numerical Algorithms Type: main |
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