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An iterative algorithm for generalized Hamiltonian solution of a class of generalized coupled Sylvester-conjugate matrix equations.
- Source :
-
Applied Mathematics & Computation . Dec2021, Vol. 411, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- • We proposed an iterative algorithm for a class of generalized coupled Sylvester-conjugate matrix equations over generalized Hamiltonian matrix. • We proved the proposed algorithm is finitely terminated. • Some numerical examples are tested to verify the efficiency and stability of the proposed algorithm. In this work, we present an iterative algorithm to solve a class of generalized coupled Sylvester-conjugate matrix equations over the generalized Hamiltonian matrices. We show that if the equations are consistent, a generalized Hamiltonian solution can be obtained within finite iteration steps in the absence of round-off errors for any initial generalized Hamiltonian matrix by the proposed iterative algorithm. Furthermore, we can obtain the minimum-norm generalized Hamiltonian solution by choosing the special initial matrices. Finally, numerical examples show that the iterative algorithm is effective. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 411
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 152272430
- Full Text :
- https://doi.org/10.1016/j.amc.2021.126491