Refinement Methods for State Estimation via Sylvester-Observer Equation

Table 2

Implementation of weighted block refinement method to solve the Sylvester-observer equation with different values of 𝑚.

𝑚	𝑟	ℓ	‖𝑈^𝑇𝑚𝐷𝐴𝑈𝑚−𝐴𝑚‖	‖𝑉^𝑇𝑚𝐷𝐹𝑉𝑚−𝐹𝑚‖	Iteration	Time
10	2	5	9.34𝐸−016	2.27𝐸−015	311	7.34
20	2	10	1.97𝐸−015	2.98𝐸−015	174	5.89
30	2	15	3.17𝐸−015	3.12𝐸−015	106	4.48
40	2	20	5.22𝐸−015	6.05𝐸−015	67	3.37
50	2	25	7.74𝐸−015	9.59𝐸−015	40	2.19
60	2	30	8.82𝐸−015	1.11𝐸−014	11	0.984