Newton Type Iteration for Tikhonov Regularization of Nonlinear Ill-Posed Problems in Hilbert Scales

Table 2

Iterations and corresponding error estimates with 𝛿=1.8𝐸−5, 𝜎=0.1.

𝑛	𝑘	𝑛𝑘	𝛼	‖𝑥^𝛿𝑛𝑘,𝛼,𝑠−𝑥‖	‖𝑥^𝛿𝑛𝑘,𝛼,𝑠−𝑥‖(𝛿)^1/5
8	7	21	1.0605	0.9249	2.9246
16	2	9	0.2856	1.0033	3.1726
32	2	9	0.1431	1.0417	3.2942
64	2	9	0.1429	1.0608	3.3546
128	2	9	0.1428	1.0704	3.3850
256	2	9	0.1428	1.0754	3.4008
512	2	9	0.1428	1.0784	3.4101
1024	2	9	0.1428	1.0807	3.4175