Theory and Modern Applications
Table 2 Calculations of \(n_{i}\) and \(f(n_{i})\) for \(i=1,2,3\) and different values of q using QBM
From: Generalization of the bisection method and its applications in nonlinear equations
q | \(n_{1}\) | \(f(n_{1})\) | \(n_{2}\) | \(f(n_{2})\) | \(n_{3}\) | \(f(n_{3})\) |
|---|---|---|---|---|---|---|
0.1 | 62.181818182 | 204.409831 | 62.347107438 | 138.037429 | 62.497370398 | 77.788961 |
0.2 | 62.333333333 | 143.564496 | 62.611111111 | 32.241199 | 62.842592593 | −60.304717 |
0.25 | 62.4 | 116.820190 | 62.72 | −11.317682 | 62.464 | 91.161536 |
0.3 | 62.461538462 | 92.148120 | 62.816568047 | −49.910271 | 62.543468366 | 59.322997 |
0.4 | 62.571428571 | 48.126601 | 62.979591837 | −114.981245 | 62.688046647 | 1.459977 |
0.5 | 62.666666667 | 10.011665 | 63.111111111 | −167.403960 | 62.814814815 | −49.209921 |
0.528 | 62.691698829 | −0.000671 | 62.239223635 | 181.346723 | 62.395711916 | 118.539909 |
0.55 | 62.709677419 | −7.190263 | 62.251821020 | 176.287299 | 62.414286194 | 111.091271 |
0.6 | 62.75 | −23.310705 | 62.28125 | 164.470235 | 62.45703125 | 93.954668 |
0.65 | 62.787878788 | −38.448542 | 62.310376492 | 152.777876 | 62.498483457 | 77.342996 |
0.7 | 62.823529412 | −52.690956 | 62.339100346 | 141.250308 | 62.538571138 | 61.284350 |
0.8 | 62.888888889 | −78.789554 | 62.395061728 | 118.800671 | 62.614540466 | 30.868667 |
0.85 | 62.918918919 | −90.775384 | 62.422205990 | 107.915681 | 62.650425444 | 16.509082 |
0.9 | 62.947368421 | −102.127233 | 62.448753463 | 97.272713 | 62.684939496 | 2.702686 |
0.99 | 62.994974874 | −20.802422 | 62.49498750 | 78.743724 | 62.743724938 | −20.802422 |
1 | 63 | −123.120088 | 62.5 | 76.735376 | 62.75 | −23.310705 |