To the question of efficiency of iterative methods

In this paper we prove that, among all one-point iterative processes without memory of order p, the most efficient processes are of order p=3

Tamara Kogan; Luba Sapir; Amir Sapir; Ariel Sapir

2016

Scholarcy highlights

  • In this paper we prove that, among all one-point iterative processes without memory of order p, the most efficient processes are of order p=3
  • We find the upper and lower bounds of the Ostrowski–Traub index of computational efficiency in a wider class of iterative methods with unit informational efficiency

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