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On the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equations.
- Source :
-
Computers & Mathematics with Applications . Aug2017, Vol. 74 Issue 3, p532-555. 24p. - Publication Year :
- 2017
-
Abstract
- In this paper, we discuss the finite iterative algorithm to solve a class of generalized coupled Sylvester-conjugate matrix equations. We prove that if the system is consistent, an exact generalized Hamiltonian solution can be obtained within finite iterative steps in the absence of round-off errors for any initial matrices; if the system is inconsistent, the least squares generalized Hamiltonian solution can be obtained within finite iterative steps in the absence of round-off errors. Furthermore, we provide a method for choosing the initial matrices to obtain the minimum norm least squares generalized Hamiltonian solution of the system. Finally, numerical examples are presented to demonstrate the algorithm is efficient. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 74
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 123868047
- Full Text :
- https://doi.org/10.1016/j.camwa.2017.04.035