A Newton-Kantorovich-SOR type theorem |
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Authors: | Béla Finta |
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Affiliation: | (1) Mathematics and Computer Sciences Department, Petru Maior University of Tg. Mures, 4300 Tg. Mureş, Romania |
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Abstract: | In this paper we propose a new method for solving nonlinear systems of equations in finite dimensional spaces, combining the Newton-Raphson's method with the SOR idea. For the proof we adapt Kantorovich's demonstration given for the Newton-Raphson's method. As applications we reobtain the classical Newton-Raphson's method and the author's Newton-Kantorovich-Seidel type result. |
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Keywords: | Iterative method Newton method SOR method |
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