Journal of Inequalities and Applications

Table 1 Numerical performance for MSFP

From: A new criterion for an inexact parallel splitting augmented Lagrangian method

	Method		n
	Method		20	30	40	50	60	70	80	90	100
\(t_{1}=500\) \(t_{2}=500\)	HLQ	Iter.	10	22	13	28	18	31	26	23	30
	HLQ	Tim.	0.06	0.11	0.07	0.16	0.13	0.24	0.16	0.16	0.18
	TY	Iter.	30	31	28	26	27	28	27	26	27
	TY	Tim.	0.15	0.17	0.17	0.24	0.22	0.24	0.21	0.20	0.18
	ZHY	Iter.	26	28	30	26	29	24	25	27	20
	ZHY	Tim.	0.11	0.23	0.25	0.33	0.16	0.31	0.18	0.27	0.27
	NEW	Iter.	11	17	21	24	18	21	21	19	19
	NEW	Tim.	0.05	0.10	0.10	0.14	0.10	0.17	0.14	0.13	0.11
\(t_{1}=1{,}000\) \(t_{2}=1{,}000\)	HLQ	Iter.	34	35	33	24	30	33	25	29	25
	HLQ	Tim.	0.33	0.41	0.36	0.25	0.32	0.40	0.33	0.33	0.43
	TY	Iter.	32	33	31	24	28	30	24	24	28
	TY	Tim.	0.33	0.40	0.35	0.24	0.32	0.37	0.30	0.33	0.41
	ZHY	Iter.	30	33	31	22	25	16	22	22	31
	ZHY	Tim.	0.34	0.42	0.35	0.27	0.36	0.27	0.31	0.33	0.44
	NEW	Iter.	26	10	22	15	20	12	18	22	21
	NEW	Tim.	0.22	0.11	0.21	0.15	0.21	0.14	0.19	0.27	0.25
\(t_{1}=5{,}000\) \(t_{2}=5{,}000\)	HLQ	Iter.	29	32	33	27	28	27	28	29	25
	HLQ	Tim.	1.55	1.53	1.66	1.40	1.80	1.64	1.6	1.82	1.6
	TY	Iter.	27	28	31	28	27	28	27	28	21
	TY	Tim.	0.97	0.96	0.99	0.89	1.03	1.09	1.01	1.02	1.04
	ZHY	Iter.	24	27	30	16	33	33	22	23	21
	ZHY	Tim.	0.88	0.85	0.94	0.58	1.3	1.12	0.93	0.85	1.17
	NEW	Iter.	11	12	22	16	18	22	18	18	18
	NEW	Tim.	0.84	0.36	0.66	0.49	0.55	0.77	0.72	0.65	0.65
\(t_{1}=10{,}000\) \(t_{2}=10{,}000\)	HLQ	Iter.	36	36	34	26	30	33	26	23	33
	HLQ	Tim.	3.30	3.50	3.20	2.60	2.23	3.24	3.28	2.83	3.10
	TY	Iter.	29	30	32	25	32	31	27	26	24
	TY	Tim.	1.52	1.82	2.1	1.61	2.01	2.09	1.77	1.97	1.81
	ZHY	Iter.	23	30	33	25	32	30	26	25	22
	ZHY	Tim.	1.35	1.90	2.20	1.55	2.21	2.11	1.86	1.94	1.66
	NEW	Iter.	28	29	19	23	23	14	21	23	22
	NEW	Tim.	1.50	1.70	1.30	1.34	1.38	1.02	1.34	1.48	1.53

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