Finite iterative Hamiltonian solutions of the generalized coupled Sylvester – conjugate matrix equations
Bayoumi, Ahmed M. E.;
Abstract
In this paper, we present an iterative algorithm to solve a generalized coupled Sylvester – conjugate matrix equations over Hamiltonian matrices. When the considered systems of matrix equations are consistent, it is proven that the solution can be obtained within finite iterative steps for any arbitrary initial generalized Hamiltonian matrices in the absence of round off errors. Two numerical examples are given to illustrate the effectiveness of the proposed method.
Other data
| Title | Finite iterative Hamiltonian solutions of the generalized coupled Sylvester – conjugate matrix equations | Authors | Bayoumi, Ahmed M. E. | Keywords | Coupled Sylvester – conjugate matrix equation;Frobenius norm;Hamiltonian solutions;inner product;iterative algorithm | Issue Date | 1-Feb-2019 | Publisher | SAGE PUBLICATIONS LTD | Journal | Transactions of the Institute of Measurement and Control | Volume | 41 | Issue | 4 | ISSN | 01423312 | DOI | 10.1177/0142331218791238 | Scopus ID | 2-s2.0-85061199092 | Web of science ID | WOS:000460793400026 |
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