Monoton einschließend konvergente iterationsprozesse vom gauß‐seidel‐typ zur lösung nichtlinearer gleichungssysteme im RNund anwendungen

摘要

AbstractIn 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 prob