Jakub Kierzkowski (2015)
Open Mathematics
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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.
Radim Blaheta, P. Byczanski, Roman Kohut (2002)
Applications of Mathematics
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This paper concerns the composite grid finite element (FE) method for solving boundary value problems in the cases which require local grid refinement for enhancing the approximating properties of the corresponding FE space. A special interest is given to iterative methods based on natural decomposition of the space of unknowns and to the implementation of both the composite grid FEM and the iterative procedures for its solution. The implementation is important for gaining all benefits...
Manteuffel, Thomas A., Starke, Gerhard, Varga, Richard S. (1995)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Milan Práger (1993)
Applications of Mathematics
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An iterative procedure containing two parameters for linear algebraic systems originating from the domain decomposition technique is proposed. The optimization of the parameters is investigated. A numeric example is given as an illustration.