A method with inertial extrapolation step for convex constrained monotone equations

Journal of Inequalities and Applications

Table 2 Test result for Problem 1

DIM	\((x_{0}, x_{1})\)	IPDY			PDY
DIM	\((x_{0}, x_{1})\)	NI	NF	CPU	NI	NF	CPU
1000	\((x_{1},x_{2})\)	10	40	0.029733	16	64	0.03464
	\((x_{2},x_{2})\)	11	44	0.030847	16	64	0.023968
	\((x_{3},x_{3})\)	12	48	0.010731	17	68	0.014996
	\((x_{4},x_{4})\)	12	48	0.024497	18	72	0.015807
	\((x_{5},x_{5})\)	12	48	0.021592	18	72	0.032048
	\((x_{6},x_{6})\)	12	48	0.022392	18	72	0.015106
	\((x_{7},x_{7})\)	18	72	0.031427	17	68	0.011476
5000	\((x_{1},x_{2})\)	10	40	0.042238	16	64	0.04849
	\((x_{2},x_{2})\)	11	44	0.067285	17	68	0.061148
	\((x_{3},x_{3})\)	12	48	0.044846	18	72	0.072658
	\((x_{4},x_{4})\)	12	48	0.054505	19	76	0.052417
	\((x_{5},x_{5})\)	13	52	0.057993	18	72	0.055616
	\((x_{6},x_{6})\)	12	48	0.05459	18	72	0.058231
	\((x_{7},x_{7})\)	20	80	0.083833	18	72	0.062164
10,000	\((x_{1},x_{2})\)	9	36	0.0635	17	68	0.10741
	\((x_{2},x_{2})\)	12	48	0.10059	17	68	0.094942
	\((x_{3},x_{3})\)	12	48	0.080824	18	72	0.12731
	\((x_{4},x_{4})\)	12	48	0.13745	19	76	0.10435
	\((x_{5},x_{5})\)	14	56	0.10695	20	80	0.13305
	\((x_{6},x_{6})\)	13	52	0.12456	19	76	0.13785
	\((x_{7},x_{7})\)	19	76	0.14196	18	72	0.13154
50,000	\((x_{1},x_{2})\)	9	36	0.31707	17	68	0.4311
	\((x_{2},x_{2})\)	12	48	0.29351	18	72	0.37639
	\((x_{3},x_{3})\)	13	52	0.35328	19	76	0.42555
	\((x_{4},x_{4})\)	15	60	0.48101	20	80	0.79858
	\((x_{5},x_{5})\)	16	64	0.64442	22	88	0.74776
	\((x_{6},x_{6})\)	16	64	0.59247	23	92	1.3893
	\((x_{7},x_{7})\)	14	56	0.47954	19	76	0.54864
100,000	\((x_{1},x_{2})\)	9	36	0.54463	18	72	1.3933
	\((x_{2},x_{2})\)	12	48	0.68154	18	72	1.0358
	\((x_{3},x_{3})\)	14	56	0.76761	19	76	1.1113
	\((x_{4},x_{4})\)	16	64	0.99936	23	92	1.5626
	\((x_{5},x_{5})\)	17	68	1.2856	23	92	1.4079
	\((x_{6},x_{6})\)	19	76	1.672	26	104	1.6467
	\((x_{7},x_{7})\)	15	60	0.87727	20	80	1.0802