Iterative Solutions of a Set of Matrix Equations by Using the Hierarchical Identification Principle

Table 1

The gradient iterative solution (𝜇=25/139).

𝑘	𝑥11	𝑥12	𝑥21	𝑥22	𝛿 (%)
2	−1.60864	−7.04633	6.47331	5.28946	10.98102
4	−1.89505	−7.89255	6.97696	5.89765	1.48121
6	−1.96855	−7.98772	7.00523	5.98269	0.30968
8	−1.99026	−7.99846	7.00259	5.99669	0.08667
10	−1.99696	−7.99976	7.00084	5.99931	0.02617
12	−1.99905	−7.99995	7.00025	5.99985	0.00805
14	−1.99970	−7.99999	7.00007	5.99996	0.00249
16	−1.99991	−8.00000	7.00002	5.99999	0.00077
18	−1.99997	−8.00000	7.00001	6.00000	0.00024
20	−1.99999	−8.00000	7.00000	6.00000	0.00007
Solution	−2.00000	−8.00000	7.00000	6.00000