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New SOR-like methods for solving the Sylvester equation

Kierzkowski Jakub

Open Mathematics · 2014

doi:10.1515/math-2015-0017 (opens in a new tab)

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Abstract

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.

Abstract licence: CC BY-NC-ND

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