Comparison Results on Preconditioned GAOR Methods for Weighted Linear Least Squares Problems

Table 1

The spectral radii of the GAOR and preconditioned GAOR iteration matrices.

𝑛	𝜔	𝑟	𝑝	𝜌	𝜌1	𝜌2
5	0.95	0.7	3	0.1450	0.1384	0.1348
10	0.9	0.85	5	0.2782	0.2726	0.2695
15	0.95	0.8	5	0.3834	0.3808	0.3796
20	0.75	0.65	10	0.6350	0.6317	0.6297
25	0.7	0.55	8	0.7872	0.7861	0.7855
30	0.65	0.55	16	0.9145	0.9136	0.9130
40	0.6	0.5	10	1.1426	1.1433	1.1436
50	0.6	0.5	10	1.3668	1.3683	1.3691

Where 𝜌=𝜌(𝐿_𝑟,𝜔), 𝜌₁=𝜌(𝐿⁽¹⁾_𝑟,𝜔), 𝜌₂=𝜌(𝐿⁽²⁾_𝑟,𝜔).