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

Table 3

Error results for Corollary 7  (‖𝑥_𝑛−𝑥^∗‖≤𝑟₁−𝑡_𝑛).

Step	𝑟1−𝑡𝑛	Step	𝑟1−𝑡𝑛
𝑘=1	2.764303×10^−3	𝑘=2	4.099223×10^−9
𝑘=3	1.344301×10^−26	𝑘=4	4.741124×10^−79
𝑘=5	2.079868×10^−236	𝑘=6	<1.0 × 10^−500