On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences

Table 5

Results for a random matrix 𝐴∈ℂ^100×80 using an acceleration iteration (2.34).

𝑛	‖𝑋𝐴𝑋−𝑋‖	‖𝐴𝑋𝐴−𝐴‖	‖(𝐴𝑋)^∗−𝐴𝑋‖	‖(𝑋𝐴)^∗−𝑋𝐴‖
1	0.094713	45.137	4.1569×10^−12	3.2203×10^−12
2	0.12329	45.032	1.6962𝑒×10^−12	1.42×10^−12
3	0.74538	45.195	6.3723×10^−13	5.9666×10^−13
4	0.85654	44.985	2.1027×10^−13	2.3662×10^−13
5	0.95103	44.599	6.4066×10^−14	8.656×10^−14
6	1.2811	42.945	1.7448×10^−14	2.9065×10^−14
7	1.6118	36.615	4.8196×10^−15	6.8183×10^−15
8	1.4848	21.984	1.1672×10^−15	8.3827×10^−16
9	0.50821	6.0397	1.8502×10^−15	5.3961×10^−16
10	0.038445	0.40952	2.0718𝑒×10^−16	1.5552×10^−16
11	0.00017627	0.0018439	2.0888×10^−16	1.222×10^−16
12	3.5682×10^−9	3.746×10^−8	2.0885×10^−16	1.2319×10^−17
13	4.661×10^−15	6.7753×10^−14	2.0898×10^−16	1.588×10^−17
14	5.3525×10^−15	6.805×10^−14	2.0897×10^−16	1.4264×10^−17
15	4.0198×10^−15	6.8871×10^−14	2.0891×10^−16	1.4191×10^−17