Finite iterative Hermitian R-conjugate solutions of the generalized coupled Sylvester-conjugate matrix equations

Bayoumi, A.M.E. ; Ahmed M. E. Bayoumi 


Abstract


© 2018 Elsevier Ltd. In this paper, an iterative algorithm for solving a generalized coupled Sylvester-conjugate matrix equations over Hermitian R-conjugate matrices given by A1VB1+C1WD1=E1VF1+G1 and A2VB2+C2WD2=E2VF2+G2 is presented. When these two matrix equations are consistent, the convergence theorem shows that a solution can be obtained within finite iterative steps in the absence of round-off error for any initial arbitrary Hermitian R-conjugate solution matrices V1, W1. Some lemmas and theorems are stated and proved where the iterative solutions are obtained. A numerical example is given to demonstrate the behavior of the proposed method and to support the theoretical results.


Other data

Issue Date 2018
Journal Computers and Mathematics with Applications 
URI http://research.asu.edu.eg/123456789/557
DOI http://www.scopus.com/inward/record.url?eid=2-s2.0-85042591259&partnerID=MN8TOARS
10.1016/j.camwa.2018.02.003


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