Block Preconditioned SSOR Methods for 𝐻-Matrices Linear Systems

Table 1

Comparison of spectral radius with preconditioner 𝑃₁.

𝜔,𝑟	𝑁	𝜌(ℒ𝜔)	𝜌(ℒ𝜔)	𝜌(ℒ̈𝜔)	𝜌(ℒ𝜔)	𝜌(ℒ𝜔)
	100	0.5636	0.8635	0.7404	0.8999	0.6288
𝜔=0.8	200	0.6030	0.9195	0.7698	0.9473	0.7059
	500	0.6120	0.9751	0.7844	0.9847	0.7103
	100	0.3650	0.7906	0.5923	0.8530	0.4770
𝜔=0.6	200	0.4510	0.8832	0.6507	0.9240	0.5769
	500	0.4345	0.9730	0.6766	0.9835	0.5609
	100	0.2387	0.7512	0.6647	0.8087	0.3602
𝜔=0.9	200	0.3494	0.8491	0.5800	0.9009	0.4899
	500	0.3569	0.9561	0.6284	0.9731	0.5019
	1000	0.3674	0.9738	0.6316	0.9840	0.5173