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

Table 1

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	50	7	0.046	55	0.031	15	0.031	14	0.016	2	0.011
2	50	9	0.078	344	0.062	15	0.031	15	0.031	13	0.031
3	50	10	0.062	—	—	—	—	20	0.016	10	0.016
4	50	—	—	—	—	—	—	19	0.031	9	0.031
5	50	12	0.078	—	—	42	0.031	16	0.016	8	0.015
6	50	8	0.064	—	—	16	0.032	14	0.031	7	0.014
7	50	8	0.094	—	—	—	—	25	0.031	14	0.010
8	50	11	0.064	—	—	11	0.0312	11	0.016	9	0.016