On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences

Table 3

Results for Example 4.2 using an acceleration iteration (2.34).

𝑛	‖𝑋𝐴𝑋−𝑋‖	‖𝐴𝑋𝐴−𝐴‖	‖(𝐴𝑋)^∗−𝐴𝑋‖	‖(𝑋𝐴)^∗−𝑋𝐴‖
1	0.010134	8.8184	1.7808×10^−15	5.5517×10^−16
2	0.0017505	1.1564	2.25×10^−15	4.2698×10^−16
3	2.7532×10^−5	0.018018	2.2253×10^−15	6.3027×10^−16
4	7.2707×10^−9	4.6827×10^−6	2.6984×10^−15	4.1249×10^−16
5	4.4545𝑒×10^−16	2.9558×10^−13	2.7911×10^−15	5.4318×10^−16
6	7.4467×10^−17	6.4138𝑒×10^−15	3.2971×10^−15	1.0954×10^−16
7	1.4818×10^−17	5.2442×10^−15	2.9214×10^−15	4.6700×10^−16
8	2.9927×10^−18	4.3997×10^−15	2.7295×10^−15	7.1699×10^−16