Spectral Properties of the Iteration Matrix of the HSS Method for Saddle Point Problem

Table 2

The region for all the eigenvalues of 𝑀_𝛼 with ℑ(𝜃)=0 and 16×16.

𝛼	𝐸min	𝐿min	𝜆min	𝜆max	𝑈max	𝐸max
0.1	0	−0.9929	−0.9929	0.9997	1	0.0003
0.2	0	−0.9608	−0.9608	0.9998	1	0.0002
0.3	0.0001	−0.9135	−0.9134	0.9999	1	0.0001
0.4	0.0002	−0.8635	−0.8633	0.9999	1	0.0001
0.5	0.0004	−0.8154	−0.8150	0.9999	1	0.0001
0.6	0.0006	−0.7702	−0.7696	0.99996	1	0.00004
0.7	0.0007	−0.7278	−0.7271	0.99998	1	0.00002
0.8	0.001	−0.6880	−0.6870	0.99997	1	0.00003
0.9	0.001	−0.6504	−0.6494	0.99998	1	0.00002
1	0.001	−0.6147	−0.6137	0.99998	1	0.00002