An iterative algorithm for the generalized centro-symmetric solution of the generalized coupled Sylvester matrix equations AV+BW=EVF+C, MV+NW=GVH+D

Mohamed A. Ramadan, Marwa H. El-Sharway, Naglaa M. El-Shazly

Abstract


In this paper, an iterative algorithm for solving of the generalized coupled Sylvester matrix equations AV+BW=EVF+C, MV+NW=GVH+D over the generalized centro-symmetric matrices (V,W ) is proposed. For any initial generalized centro-symmetric matrices V0 and W0, a generalized centro-symmetric solution (V,W ) is obtained within a finite number of iterations in the absence of round-off errors. Two numerical examples are presented to support the theoretical results where the efficiency and accuracy of the suggested algorithm are shown.

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Published: 2022-01-17

How to Cite this Article:

Mohamed A. Ramadan, Marwa H. El-Sharway, Naglaa M. El-Shazly, An iterative algorithm for the generalized centro-symmetric solution of the generalized coupled Sylvester matrix equations AV+BW=EVF+C, MV+NW=GVH+D, J. Math. Comput. Sci., 12 (2022), Article ID 53

Copyright © 2022 Mohamed A. Ramadan, Marwa H. El-Sharway, Naglaa M. El-Shazly. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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