Real Fast Structure-Preserving Algorithm for Eigenproblem of Complex Hermitian Matrices

Table 5

Example 17—the real fast algorithm for eigenproblem of 𝐻₂.

Real fast algorithm	Complex algorithm (eig)	Error
2.022700124819288𝑒+001	2.022700124819288𝑒+001	7.105427357601002𝑒−015
1.902502989496266𝑒+001	1.902502989496268𝑒+001	1.421085471520200𝑒−014
1.800263600389322𝑒+001	1.800263600389323𝑒+001	1.065814103640150𝑒−014
1.700158594984117𝑒+001	1.700158594984119𝑒+001	2.131628207280301𝑒−014
1.600156256127496𝑒+001	1.600156256127496𝑒+001	0
1.500156225818778𝑒+001	1.500156225818779𝑒+001	8.881784197001252𝑒−015
1.400156222655317𝑒+001	1.400156222655317𝑒+001	3.552713678800501𝑒−015
1.300156061869106𝑒+001	1.300156061869103𝑒+001	2.842170943040401𝑒−014
1.200151108208256𝑒+001	1.200151108208256𝑒+001	3.552713678800501𝑒−015
1.100086192964745𝑒+001	1.100086192964745𝑒+001	0
9.999138070352572𝑒+000	9.999138070352565𝑒+000	7.105427357601002𝑒−015
8.998488917917468𝑒+000	8.998488917917442𝑒+000	2.664535259100376𝑒−014
7.998439381308970𝑒+000	7.998439381308969𝑒+000	8.881784197001252𝑒−016
6.998437773446823𝑒+000	6.998437773446838𝑒+000	1.509903313490213𝑒−014
5.998437741812211𝑒+000	5.998437741812216𝑒+000	5.329070518200751𝑒−015
4.998437438725036𝑒+000	4.998437438725052𝑒+000	1.598721155460225𝑒−014
3.998414050158813𝑒+000	3.998414050158812𝑒+000	8.881784197001252𝑒−016
2.997363996106763𝑒+000	2.997363996106775𝑒+000	1.199040866595169𝑒−014
1.974970105037331𝑒+000	1.974970105037334𝑒+000	3.774758283725532𝑒−015
7.729987518071178𝑒−001	7.729987518071133𝑒−001	4.440892098500626𝑒−015