The ____ root-finding method uses a predictable number of iterations.
A) modified regula falsi
B) trigo-sine
C) inverted parabola
D) bisection

Question

Quizplus · Accepted Answer

The bisection method always uses a predictable number of iterations because it splits the interval in half at each iteration, guaranteeing convergence to the root. The other three methods may converge more quickly, but the number of iterations required is not always predictable. The bisection method uses a predictable number of iterations because it always halves the interval size in each iteration until a satisfactory solution is obtained. The other methods listed do not have a predictable number of iterations and may converge slowly or not at all.

The ____ Root-Finding Method Uses a Predictable Number of Iterations