Original scientific paper
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
Abstract
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.
Keywords
Coupled Sylvester complex matrix equations; (R,S)–conjugate matrices; iterative algorithm; Frobenius norm; symmetric orthogonal matrices
Hrčak ID:
287516
URI
Publication date:
11.4.2022.
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