Theory and Modern Applications
From: Generalization of the bisection method and its applications in nonlinear equations
q | \(k_{1}\) | \(f(k_{1})\) | \(k_{2}\) | \(f(k_{2})\) | \(k_{3}\) | \(f(k_{3})\) |
---|---|---|---|---|---|---|
0.1 | 0.090909091 | −0.014624 | 0.173553719 | −0.019766 | 0.248685199 | −0.019134 |
0.2 | 0.166666667 | −0.019590 | 0.305555556 | −0.015948 | 0.421296296 | −0.003921 |
0.25 | 0.200000000 | −0.020059 | 0.360000000 | −0.011106 | 0.488000000 | 0.005581 |
0.3 | 0.230769231 | −0.019683 | 0.408284024 | −0.005582 | 0.544833864 | 0.014771 |
0.4 | 0.285714286 | −0.017295 | 0.489795918 | 0.005858 | 0.344023324 | −0.012691 |
0.5 | 0.333333333 | −0.013677 | 0.5555555561 | 0.016599 | 0.407407407 | −0.005691 |
0.528 | 0.345549738 | −0.012545 | 0.571694855 | 0.019399 | 0.423694124 | −0.003607 |
0.55 | 0.354838710 | −0.011632 | 0.583766909 | 0.021530 | 0.436071297 | −0.001953 |
0.6 | 0.375000000 | −0.009504 | 0.609375000 | 0.026147 | 0.462890625 | 0.001824 |
0.65 | 0.393939394 | −0.007332 | 0.632690542 | 0.030452 | 0.487992876 | 0.005580 |
0.7 | 0.411764706 | −0.005144 | 0.653979239 | 0.034459 | 0.511500102 | 0.009274 |
0.8 | 0.444444444 | −0.000802 | 0.691358025 | 0.041643 | 0.554183813 | 0.016364 |
0.819 | 0.450247389 | 0.000011 | 0.202722711 | −0.020056 | 0.314170051 | −0.015291 |
0.9 | 0.473684211 | 0.003414 | 0.224376731 | −0.019821 | 0.342469748 | −0.012838 |
0.99 | 0.497487437 | 0.007052 | 0.247493750 | −0.019177 | 0.371862469 | −0.009848 |
1 | 0.5 | 0.007447 | 0.25 | −0.019084 | 3.375 | −0.009504 |