Academic Journal

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
Περιγραφή
ISSN:10775463
DOI:10.1177/10775463221117861