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Bisection methodThis method is based on the intermediate value theorem for continuous functions, which says that any continuous function f (x) in the interval a,b which satisfies f (a). f (b).

1. Secant Method Algorithm
2. Secant Method Matlab Code Example

Secant Method Algorithm

In this tutorial you will get program for bisection method in C and C.To find a root very accurately Bisection Method is used in Mathematics. Bisection method algorithm is very easy to program and it always converges which means it always finds root.Bisection Method repeatedly bisects an interval and then selects a subinterval in which root lies. It is a very simple and robust method but slower than other methods.It is also called Interval halving, binary search method and dichotomy method.Bisection Method calculates the root by first calculating the of the given interval end points.Bisection Method ProcedureThe input for the method is a continuous function f, an interval a, b, and the function values f(a) and f(b).

Secant Method Matlab Code Example

The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps:1. Calculate the midpoint c = (a + b)/22.

Calculate the function value at the midpoint, function(c).3. If convergence is satisfactory (that is, a – c is sufficiently small, or f(c) is sufficiently small), return c and stop iterating.4.

Examine the sign of f(c) and replace either (a, f(a)) or (b, f(b)) with (c, f(c)) so that there is a zero crossing within the new interval. Pros and ConsAdvantage of the bisection method is that it is guaranteed to be converged and very easy to implement.Disadvantage of bisection method is that it cannot detect multiple roots and is slower compared to other methods of calculating the roots.

Program for Bisection Method in C.