Asymptotic and Numerical Methods in Estimating Eigenvalues

Table 3

𝑛	𝜆𝑛(0)	𝐴^2𝑛(1)	𝑆^2𝑛(1)	|𝐴^2𝑛(1)−𝑆^2𝑛(1)|	|𝐴^2𝑛(1)−𝜆𝑛(0)|	|𝑆^2𝑛(1)−𝜆𝑛(0)|
1	9,8696	16,779308	16,7201	0,059208	6,909708	6,8505
2	39,4784	44,915438	44,9149	0,000538	5,437038	5,4365
3	88,8264	95,665322	95,6569	0,008422	6,838922	6,8305
4	157,9137	163,748052	163,7473	0,000752	5,834352	5,8336
5	246,7401	253,572371	253,5588	0,013571	6,832271	6,8187
6	355,3058	361,320361	361,3199	0,000461	6,014561	6,0141
7	483,6106	490,44101	490,4249	0,01611	6,83041	6,8143
8	631,6547	637,77751	637,7770	0,00051	6,12281	6,1223
9	799,4379	806,267576	806,2502	0,017376	6,829676	6,8123
10	986,9604	993,157379	993,1570	0,000379	6,196979	6,1966
20	3947,8418	3954,223216	3954,2175	0,005216	6,381416	6,3757
30	8882,6440	8889,107347	8889,0782	0,029347	6,463347	6,4342
40	15791,3670	15797,8793	15797,7870	0,0893	6,51236	6,42
50	24674,0110	24680,55663	24680,3312	0,22663	6,54563	6,3202
60	35530,5758	35537,1461	35536,6786	0,4661	6,5703	6,1028
70	48361,0616	48367,65097	48366,7849	0,87097	6,58937	5,7233
80	63165,4682	63172,073	63170,5955	1,473	6,6048	5,1273
90	79943,7956	79950,41327	79948,0466	2,36327	6,61767	4,251
100	98696,0440	98702,67245	98699,0652	3,60245	6,62845	3,0212