A Schrödinger-type algorithm for solving the Schrödinger equations via Phragmén–Lindelöf inequalities

Journal of Inequalities and Applications

Table 1 Experiment results

Nr	Dim	Algorithm			Algorithm YL			Nr	Dim	Algorithm			Algorithm YL
Nr	Dim	Ni	NG	Time	NI	NG	Time	Nr	Dim	NI	NG	Time	NI	NG	Time
1	300	9	18	10.93567	11	22	1.778411	6	300	3	6	1.279208	5	6	0.7176046
	800	9	18	52.46314	11	22	7.176046		800	3	6	5.397635	5	16	2.88601
	1600	8	14	215.453	11	22	42.57267		1600	3	6	29.88979	5	16	16.39571
2	300	4	10	11.27887	6	7	1.185608	7	300	5	14	3.790824	12	49	1.435209
	800	4	10	45.94229	6	7	4.071626		800	5	14	22.52654	12	49	4.69563
	1600	4	10	251.38	6	7	22.58894		1600	5	14	102.0403	17	83	19.23492
3	300	4	10	2.808018	64	125	8.642455	8	300	1	2	1.294808	3	6	0.2808018
	800	4	10	10.74847	78	129	52.26034		800	1	2	5.694037	3	6	0.8580055
	1600	4	10	70.80885	68	99	262.5653		1600	1	2	31.091	3	6	3.775224
4	300	2	2	0.9112052	6	17	1.092007	9	300	13	19	11.01367	12	15	1.60681
	800	2	2	2.839218	6	22	3.08882		800	9	15	40.95026	11	17	7.191646
	1600	2	2	14.08689	6	22	13.27569		1600	10	19	299.3191	10	16	38.07984
5	300	3	6	1.731611	6	7	0.936006	10	300	3	9	4.558416	40	50	12.44888
	800	3	6	5.616036	6	7	3.650423		800	3	9	11.62207	40	50	49.43672
	1600	3	6	30.32659	6	7	22.44854		1600	3	9	73.07087	41	53	365.7911