Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation

Table 1

Iteration, CPU time (seconds) and residue for solving (1) with 𝑠≠𝑡.

(𝑠,𝑡)	Algorithm 1			MONO
	Ite	CPU	Res	Ite	CPU	Res
(2,1)	9	0.0541	4.5275𝑒−13	200	2.1031	0.0016
(1,2)	200	1.0275	2.0297𝑒−07	—	—	—
(8,5)	10	0.0716	5.9909𝑒−13	200	2.2284	0.0034
(5,8)	200	1.1048	3.1059𝑒−05	—	—	—
(30,15)	9	0.0743	5.2317𝑒−13	200	2.3051	0.0029
(15,30)	200	1.2865	2.0838𝑒−08	—	—	—
(300,150)	10	0.0886	7.9960𝑒−13	200	2.2683	0.0031
(150,300)	200	1.4187	2.8384𝑒−07	—	—	—