Displaying similar documents to “On an accelerated procedure of extrapolation.”

New SOR-like methods for solving the Sylvester equation

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.

Convergence of the accelerated overrelaxation method

Dragoslav Herceg, Ljiljana Cvetković (1989)

Aplikace matematiky

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The convergence of the Accelerated Overrelaxation (AOR) method is discussed. It is shown that the intervals of convergence for the parameters σ and ω are not always of the following form: 0 ≤ ω ≤ ω 1 , - σ 1 ≤ σ ≤ σ 2 , σ 1 , σ 2 ≥ 0 .