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https://doi.org/10.1080/00051144.2022.2052399

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

Ahmed M. E. Bayoumi ; Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
Mohamed Ramadan ; Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El- Koom, Egypt


Puni tekst: engleski pdf 1.650 Kb

str. 454-462

preuzimanja: 202

citiraj


Sažetak

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 (R,S) – conjugate matrices V1,W1. A necessary and sufficient condition is established to guarantee that the proposed method converges to the (R,S) – conjugate solutions. Finally, two numerical examples are provided to demonstrate the efficiency of the described iterative technique.

Ključne riječi

Coupled Sylvester complex matrix equations; (R,S)–conjugate matrices; iterative algorithm; Frobenius norm; symmetric orthogonal matrices

Hrčak ID:

287516

URI

https://hrcak.srce.hr/287516

Datum izdavanja:

11.4.2022.

Posjeta: 483 *