Journal of the ACM · 1967 · 17 citations · 0 references
Natural SciencesMathematicsAlgorithmsDifferential EquationsApproximation AlgorithmsIterative SolversNumerical AlgorithmsNumerical ConvergenceNumerical Methods For Differential EquationsSystems Of Differential EquationsNonlinear Equation SolversNonlinear Equation SystemsNonlinear Initial Value ProblemsNonlinear SolversUniqueness In Nonlinear Differential Equations
For a system of nonlinear equations satisfying certain conditions it is shown that a solution exists and is unique. An iterative method that starts with an initial arbitrary approximation is presented.