The Inversion-Free Iterative Methods for Solving the Nonlinear Matrix Equation 𝑋+𝐴^𝐻𝑋⁻¹𝐴+𝐵^𝐻𝑋⁻¹𝐵=𝐼

Table 4

Numerical results of Example 14.

DIM	Scheme	Iter.	CPU	Res.	MM
64	A1	16	0.0050	1.4358𝑒−011	96
	A2	24	0.0070	1.4344𝑒−011	120
	B1	32	0.0419	3.1053𝑒−011	192
	B2	17	0.0064	3.6219𝑒−012	102
128	A1	17	0.0324	4.9074𝑒−012	102
	A2	24	0.0620	1.9656𝑒−011	120
	B1	32	0.1036	4.0817𝑒−011	192
	B2	18	0.0454	1.2594𝑒−012	108
256	A1	17	0.3721	4.4572𝑒−012	102
	A2	24	0.4954	1.7529𝑒−011	120
	B1	32	0.6902	3.7397𝑒−011	192
	B2	18	0.4155	1.1373𝑒−012	108
512	A1	17	2.5991	5.1113𝑒−012	168
	A2	24	2.9816	2.0378𝑒−011	235
	B1	32	4.4817	4.2332𝑒−011	324
	B2	18	2.7676	1.3148𝑒−012	174
1024	A1	17	20.2298	4.9186𝑒−012	168
	A2	24	26.0464	1.9494𝑒−011	235
	B1	32	36.6167	4.0910𝑒−011	324
	B2	18	21.8226	1.2626𝑒−012	174