A Novel Filled Function Method for Nonlinear Equations

Table 3

Computational results for Problems 9–16.

Prob. Number	𝑥0	𝑘	𝑥^∗𝑘	𝑓(𝑥^∗𝑘)	𝐹(𝑥^∗𝑘)
9	−5−3	1	3.38520.0738	3.2970×10^−9	−1.9488×10^−57.8830×10^−5
	23	1	−0.2708−0.9230	2.9217×10^−9	4.8628×10^−55.8981×10^−5
10	261×10^−461010	2	3.4524×10^−33.1121×10^16.8586×10^−28.5953×10^−13.6963×10^−2	5.4171×10^−9	5.5404×10^−6−1.6118×10^−59.2403×10^−5−2.4911×10^−53.7147×10^−5
11	03	2	1.4529×10^−56.8831	4.9269×10^−9	−5.1847×10^−63.7377×10^−5
	0.80001.5000	1	0.29942.8369	4.0955×10^−15	−7.7216×10^−8−4.7209×10^−8
13	22−1−1−1	1	0.999990.999990.999990.999991.00010	8.2910×10^−11	5.0000×10^−55.0000×10^−55.0000×10^−55.0000×10^−55.9997×10^−5
14	10101010	1	6.7156×10^−17.4093×10^19.5188×10^−1−3.0643×10^−1−1.000006.0044×10^−14.0461×10^−1−4.0580×10^−1	9.8094×10^−9	−2.1344×10^−67.6246×10^−61.3096×10^−4−1.0054×10^−5−2.9901×10^−5−2.5121×10^−500
15	6.0000−2.0000	1	1.8784−0.3458	1.2341×10^−14	9.5452×10^−81.2478×10^−7
16	01	4	5.2656×10^−15.0791×10^−1	8.8529×10^−11	1.3812×10^−51.7315×10^−6