On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences

Table 2

Results for Example 4.1 using the iterations (4.4) and (4.5).

𝑛	𝐸(𝑛)=‖𝐴^(2)𝑇,𝑆−𝐴𝑛‖2	𝑅(𝑛)	‖𝐴𝑛−𝐴𝑛−1‖2
5	2.844222213540086×10^−4	2.06917386097900×10^−2	9.230211265187883×10^−4
7	1.485461921416498×10^−5	4.89980370280000×10^−3	5.070609777923677×10^−5
10	1.609342324440632×10^−7	5.64613461842000×10^−4	5.734399999925342×10^−7
13	1.625817851681746×10^−9	6.50614556479466×10^−5	5.938877957045854×10^−9
16	1.571929418012274×10^−11	7.497152117521204×10^−6	5.835397257624137×10^−11
19	1.474087541668810×10^−13	8.639107335285478×10^−7	5.537232598086118×10^−13
22	1.295028878277394×10^−15	9.955003497416000×10^−8	5.130710307439707×10^−15
24	1.942890293094024×10^−16	2.357344828188108×10^−8	2.403703357979455×10^−16
25	2.020636405220133×10^−16	1.147133503351594×10^−8	4.807406715958910×10^−17