SIAM Journal on Numerical Analysis · 1978 · 42 citations · 3 references
ComputingComputer ScienceMathematicsAlgorithmsConvergence AnalysisIterative SolversNumerical AlgorithmsNumerical AnalysisNumerical ConvergenceNumerical StabilityConvergenceNewton ConvergenceNonlinear Convergence AnalysisNonlinear Equation Solvers
A simple computational test for existence of a solution to a nonlinear system of equations and convergence of iterative methods is given for n-cubes. The test is eventually satisfied by any convergent Newton-type sequence.
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Safe Starting Regions for Iterative Methods
Ramon E. Moore, S. T. Jones · SIAM Journal on Numerical Analysis · 1977 · 114 citations