Refinement Methods for State Estimation via Sylvester-Observer Equation

Table 3

Implementation of new Iterative methods with 2 iterations and the Hessenberg-Schur method for solving the Sylvester equation.

𝑛	Hessenberg-Schur method		Block refinement		Weighted block refinement		Cond (𝐹)
	Error	Time	Error	Time	Error	Time
400	3.87𝐸−07	4.84	4.12𝐸−09	3.58	1.78𝐸−015	1.81	3.17𝐸+004
800	6.12𝐸−002	61.89	3.55𝐸−004	48.24	7.32𝐸−013	32.11	2.13𝐸+007
1200	11.01	139.54	0.043	96.25	4.13𝐸−012	71.43	1.74𝐸+010
1600	26.29	208.24	11.01	134.32	1.22𝐸−09	112.55	1.27𝐸+15
2000	71.98	347.14	39.91	242.11	5.67𝐸−05	194.78	7.12𝐸+021