New SOR-like methods for solving the Sylvester equation

New SOR-like methods for solving the Sylvester equation

We present new iterative methods for solving the Sylvester equation belonging to the class of SOR-like methods, based on the SOR (Successive Over-Relaxation) method for solving linear systems. We discuss convergence characteristics of the methods. Numerical experimentation results are included, illu...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2015-01, Vol.13 (1)
1. Verfasser: Kierzkowski, Jakub
Format: Artikel
Sprache:eng
Schlagworte:
Experimentation
Iterative methods
Linear systems
Numerical methods
SOR-like iterative method
Sylvester equation
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Beschreibung
Zusammenfassung:We present new iterative methods for solving the Sylvester equation belonging to the class of SOR-like methods, based on the SOR (Successive Over-Relaxation) method for solving linear systems. We discuss convergence characteristics of the methods. Numerical experimentation results are included, illustrating the theoretical results and some other noteworthy properties of the Methods.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2015-0017