A High-Order Iterate Method for Computing 𝐴⁽²⁾_𝑇,𝑆

Table 2

Comparison of 𝑁 and error bounds for different values of 𝛼.

	Methods
	Methods of [20]	Our method	Methods of [20]	Our method	Methods of [20]	Our method	Methods of [20]	Our method
𝛼	0.03	0.03	0.04	0.04	0.05	0.05	0.06	0.06
𝑁	𝐾=11	𝐾=3	𝐾=11	𝐾=3	𝐾=12	𝐾=3	𝐾=10	𝐾=3
𝐴^(2)𝑇,𝑆−𝑋𝑘	4.0569e − 014	1.0813e − 13	8.2489e − 016	1.9636e − 13	5.5590e − 012	2.8817e − 13	2.4454e − 014	1.0759e − 12
𝑋𝑘+1−𝑋𝑘	4.0253e − 014	1.4434e − 13	2.0263e − 016	1.4434e − 13	5.5592e − 012	8.8161e − 14	2.4572e − 014	1.0792e − 12