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Monoton einschließend konvergente iterationsprozesse vom gauß‐seidel‐typ zur lösung nichtlinearer gleichungssysteme im R N und anwendungen
Author(s) -
Törnig W.
Publication year - 1980
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670020411
Subject(s) - mathematics , class (philosophy) , nonlinear system , mathematical analysis , physics , computer science , quantum mechanics , artificial intelligence
In this paper we describe a class of Gauß‐Seidel iterations for the solution of large sparse nonlinear systems of equations. For suitable starting vectors every method of this class is monotonically convergent with respect to both sides. The result will be applied to the numerical solution of nonlinear boundary‐value problems and boundary layer problems.