On q-BFGS algorithm for unconstrained optimization problems

Mishra, Shashi Kant; Panda, Geetanjali; Chakraborty, Suvra Kanti; Samei, Mohammad Esmael; Ram, Bhagwat

doi:10.1186/s13662-020-03100-2

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Computational details of Example 2 for sequence \(\{q^{k}\}\)

From: On q-BFGS algorithm for unconstrained optimization problems

k	\(q^{k}\)	\(x=(-4, 5)^{T}\)
k	\(q^{k}\)	f(x)	\(f(q^{k}x)\)	\(g_{q^{k}}(1)\)	\(g_{q^{k}}(2)\)
1	\((0.3200, 0.3200)^{T}\)	1.6278	0.4883	0.095486	0.335128
2	\((0.9200, 0.9200)^{T}\)	1.6278	1.5444	0.021585	0.208454
3	\((0.9060, 0.9060)^{T}\)	1.6278	1.5290	0.022236	0.210039
4	\((0.9535, 0.9535)^{T}\)	1.6278	1.5802	0.020129	0.204796
5	\((0.9669, 0.9669)^{T}\)	1.6278	1.5941	0.019582	0.203381
6	\((0.9765, 0.9765)^{T}\)	1.6278	1.6040	0.019203	0.202385
7	\((0.9823, 0.9823)^{T}\)	1.6278	1.6099	0.018979	0.201791
8	\((0.9862, 0.9862)^{T}\)	1.6278	1.6139	0.01883	0.201392
9	\((0.9890, 0.9890)^{T}\)	1.6278	1.6166	0.018726	0.201113
10	\((0.9910, 0.9910)^{T}\)	1.6278	1.6187	0.018651	0.200910
11	\((0.9925, 0.9925)^{T}\)	1.6278	1.6202	0.018595	0.200758
12	\((0.9936, 0.9936)^{T}\)	1.6278	1.6213	0.018552	0.200642
13	\((0.9945, 0.9945)^{T}\)	1.6278	1.6223	0.018518	0.200550
14	\((0.9952, 0.9952)^{T}\)	1.6278	1.6230	0.018491	0.200477
15	\((0.9958, 0.9958)^{T}\)	1.6278	1.6236	0.018469	0.200417
16	\((0.9963, 0.9963)^{T}\)	1.6278	1.6241	0.018451	0.200368
17	\((0.9967, 0.9967)^{T}\)	1.6278	1.6245	0.018436	0.200327
18	\((0.9971, 0.9971)^{T}\)	1.6278	1.6248	0.018423	0.200293
19	\((0.9974, 0.9974)^{T}\)	1.6278	1.6251	0.018412	0.200263
20	\((0.9976, 0.9976)^{T}\)	1.6278	1.6254	0.018403	0.200238
21	\((0.9978, 0.9978)^{T}\)	1.6278	1.6256	0.018395	0.200217
22	\((0.9980, 0.9980)^{T}\)	1.6278	1.6258	0.018388	0.200198
23	\((0.9982, 0.9982)^{T}\)	1.6278	1.6259	0.018382	0.200181
24	\((0.9983, 0.9983)^{T}\)	1.6278	1.6261	0.018377	0.200167
25	\((0.9985, 0.9985)^{T}\)	1.6278	1.6262	0.018372	0.200154
26	\((0.9986, 0.9986)^{T}\)	1.6278	1.6263	0.018368	0.200142
27	\((0.9987, 0.9987)^{T}\)	1.6278	1.6264	0.018364	0.200132
28	\((0.9988, 0.9988)^{T}\)	1.6278	1.6265	0.018361	0.200123
29	\((0.9989, 0.9989)^{T}\)	1.6278	1.6266	0.018358	0.200115
30	\((0.9989, 0.9989)^{T}\)	1.6278	1.6267	0.018355	0.200108

Back to article page