6533b831fe1ef96bd12982f2
RESEARCH PRODUCT
Some supplementary results on the 1+ $$\sqrt 2 $$ order method for the solution of nonlinear equations
Wilhelm Wernersubject
Iterative methodApplied MathematicsNumerical analysisMathematical analysisFunction (mathematics)Local convergenceComputational MathematicsNonlinear systemsymbols.namesakeMonotone polygonConvergence (routing)symbolsNewton's methodMathematicsdescription
Recently an iterative method for the solution of systems of nonlinear equations having at leastR-order 1+ $$\sqrt 2 $$ for simple roots has been investigated by the author [7]; this method uses as many function evaluations per step as the classical Newton method. In the present note we deal with several properties of the method such as monotone convergence, asymptotic inclusion of the solution and convergence in the case of multiple roots.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1982-10-01 | Numerische Mathematik |