An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations

Table 5

Numerical results of NM, CN, BM, DQNM, and IDJA methods.

prob	Dim	NM		CN		BM		DQNM		IDJA
		NI	CPU	NI	CPU	NI	CPU	NI	CPU	NI	CPU
1	1000	7	2.730	103	3.167	38	9.438	14	0.016	2	0.011
2	1000	—	—	—	—	31	7.722	20	0.032	8	0.043
3	1000	9	5.819	—	—	—	—	17	0.031	9	0.031
4	1000	—	—	—	—	—	—	11	0.064	10	0.064
5	1000	16	8.705	—	—	—	—	22	0.031	10	0.031
6	1000	8	6.474	—	—	—	—	14	0.062	11	0.061
7	1000	8	4.321	—	—	—	—	38	0.062	31	0.047
8	1000	11	4.882	—	—	11	2.418	11	0.032	10	0.031