Abstract
We introduce the definition of topological turning point of a function ℱ(x, λ): ℝ×ℝ→ℝ, then we propose a numerical method for calculating it. This new definition does not require any regularity for ℱ but its continuity; moreover, topological turning point coincides with turning point when ℱ is sufficiently smooth. The numerical method that we introduce has linear rate of convergence, and it is of secure convergence.
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