On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences

Table 1

Results for Example 4.1 using the iterations (2.36) and (2.37) for 𝛽=1.25.

𝑛	𝐸(𝑛)=‖𝐴^(2)𝑇,𝑆−𝐴𝑛‖2	𝑅(𝛽,𝑛)	‖𝐴𝑛−𝐴𝑛−1‖2
1	3.464101615138×10^−2	0.58943384582443	0.24331050121193
2	2.020636405220133×10^−16	0.20418587373373	3.464101615138×10^−2
3	2.020636405220133×10^−16	7.073206149893×10^−2	0
4	2.020636405220133×10^−16	2.450230484805×10^−2	0
5	2.020636405220133×10^−16	8.48784737987×10^−3	0
8	2.020636405220133×10^−16	3.528331898118804×10^−4	0
10	2.020636405220133×10^−16	4.233998277742565×10^−5	0
12	2.020636405220133×10^−16	5.080797933291078×10^−6	0
14	2.020636405220133×10^−16	6.096957519949294×10^−7	0