The convergence in the bisection method is_____

By Sukrati Saxena|Updated : July 28th, 2022

The Convergence in the Bisection method is linear. In such a process, the method narrows the gap by taking the average of the negative and positive intervals. The bisection method is a simple method that is relatively slow. In general terms, the rate of convergence of the Bisection method may be linear and slow but it can guarantee maximum convergence. This is a possible case if the function is real and continuous in an interval bounded by two given initial guesses. It is ensured many times that the bisection method accuracy is very good. This method is comparatively more reliable than other methods.

Answer: The Convergence in the Bisection method is linear.

There exist so many open methods as well such as the Secant and Newton Raphson method etc. Bisection when started with an interval contains the root. In such cases, it indeed always does converge. The main advantage of using this method is that it is reliable and good. This is the reason why it is most widely used. The only drawback of such methods is that they are slow. In a bisection method, it is possible to specify an error tolerance. It is easy to compute the number of iterations that will be required to achieve accuracy before you begin to use the method. 

Summary:

The convergence in the bisection method is_____

The Convergence in the Bisection method is linear.  The bisection method is a simple method that is relatively slow. In general terms, the rate of convergence of the Bisection method may be linear and slow but it can guarantee maximum convergence.

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