(R, S) conjugate solution to coupled Sylvester complex matrix equations with conjugate of two unknowns

Autor:	Ahmed M. E. Bayoumi, Mohamed Ramadan
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Coupled Sylvester complex matrix equations – conjugate matrices iterative algorithm Frobenius norm symmetric orthogonal matrices 93Cxx Control engineering systems. Automatic machinery (General) TJ212-225 Automation T59.5
Zdroj:	Automatika, Vol 63, Iss 3, Pp 454-462 (2022)
Druh dokumentu:	article
ISSN:	00051144 1848-3380 0005-1144
DOI:	10.1080/00051144.2022.2052399
Popis:	In this work, we are concerned with (R, S) – conjugate solutions to coupled Sylvester complex matrix equations with conjugate of two unknowns. When the considered two matrix equations are consistent, it is demonstrated that the solutions can be obtained by utilizing this iterative algorithm for any initial arbitrary [Formula: see text] – conjugate matrices [Formula: see text]. A necessary and sufficient condition is established to guarantee that the proposed method converges to the [Formula: see text] – conjugate solutions. Finally, two numerical examples are provided to demonstrate the efficiency of the described iterative technique.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4fd702b82e97454085986a85df49019c Zobrazit plný text záznamu View record in DOAJ