Abstract
This paper gives global convergence theorems for the SOR, SSOR and USSOR methods applied to a system of nonlinear equations F(x) = 0 inR n, whereF is the gradient of a twice differentiable elliptic functional.
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This work was partially supported by the Scientific Research Grant-in-Aid from the Ministry of Education, Science, Sports and Culture of Japan.
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Ishihara, K., Yamamoto, T. On nonlinear SOR-like methods, III — Global convergence of SOR, SSOR and USSOR methods for convex problems. Japan J. Indust. Appl. Math. 15, 135–145 (1998). https://doi.org/10.1007/BF03167399
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DOI: https://doi.org/10.1007/BF03167399