Proper Splitting for the Generalized Inverse 𝐴⁽²⁾_𝑇,𝑆 and Its Application on Banach Spaces

Table 1

Convergence of (2.19) with any choice of initial 𝑥₀.

𝑥^𝑇0	𝑘	𝑟𝑘	𝑅𝑘	𝑋^𝑇𝑘
[10;2;−5;9]	98	0.0016	0.0014	[5.0001,5.0001,−2.0000,−2.0000]
[1;20;84;9]	98	0.0039	0.0027	[5.0008,5.0009,−2.0003,−2.0003]
[55;6;5;2;4]	98	0.0065	0.0013	[4.9990,4.9993,−1.9997,−1.9997]
[0;45;600;87]	98	0.0222	0.0088	[5.0058,5.0058,−2.0023,−2.0023]
[66;22;1;−9]	98	0	3.1765𝑒−004	[4.9998,4.9998,−1.9999,−1.9999]
[−1;−99;8;−7]	98	0.0023	6.3226𝑒−004	[4.9997,4.9995,−1.9998,−1.9998]
[−555;0;99;34]	98	0.0004	0.0019	[4.9984,4.9993,−1.9995,−1.9995]