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

Table 8

Example 20—residual 𝑟=𝐻𝑣_𝑖−𝑣_𝑖𝜆.

2∗𝑁	max𝑖=1,…,𝑁(𝐻𝑣𝑖−𝑣𝑖𝜆)	min𝑖=1,…,𝑁(𝐻𝑣𝑖−𝑣𝑖𝜆)	Average   (𝐻𝑣𝑖−𝑣𝑖𝜆)
200	0.1140𝑒−012	0.0113𝑒−012	0.0282𝑒−012
300	0.2110𝑒−012	0.0168𝑒−012	0.0420𝑒−012
400	0.2275𝑒−012	0.0225𝑒−012	0.0556𝑒−012
500	0.3608𝑒−012	0.0271𝑒−012	0.0682𝑒−012
600	0.6141𝑒−012	0.0324𝑒−012	0.0819𝑒−012
700	0.9271𝑒−012	0.0396𝑒−012	0.0954𝑒−012
800	0.8451𝑒−012	0.0452𝑒−012	0.1080𝑒−012
900	0.6920𝑒−012	0.0496𝑒−012	0.1175𝑒−012
1000	0.1218𝑒−011	0.0056𝑒−011	0.0132𝑒−011