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Journal of Mathematical and Computational Science ISSN 1927-5307 (Print)

Archives › Volume 12 (2022)

J. Math. Comput. Sci. 12 (2022), Article ID 53

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

PDF (449.6 KB) https://doi.org/10.28919/jmcs/6733

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.

Published
17 January 2022
Volume
12 (2022)
License
CC BY 3.0

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.

Cite this article

M. A. Ramadan, M. H. El-Sharway, N. 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), 53. https://doi.org/10.28919/jmcs/6733

BibTeX
@article{Ramadan2022,
  author  = {Ramadan, Mohamed A. and El-Sharway, Marwa H. and El-Shazly, Naglaa M.},
  title   = {An iterative algorithm for the generalized centro-symmetric solution of the generalized coupled Sylvester matrix equations AV+BW=EVF+C, MV+NW=GVH+D},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {53},
  doi     = {10.28919/jmcs/6733}
}