Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces

Table 2

Error results for Corollary 6  (‖𝑥_𝑛−𝑥^∗‖≤𝑟₁−𝑡_𝑛).

Step	𝑟1−𝑡𝑛	Step	𝑟1−𝑡𝑛
𝑘=1	2.736486×10^−1	𝑘=2	3.044252×10^−2
𝑘=3	1.588069×10^−4	𝑘=4	2.844419×10^−11
𝑘=5	1.636509×10^−30	𝑘=6	3.116680×10^−92