We can find the root of a given polynomial in C++ using this bisection method. Implementation of CPP code: C++ Program to perform bisection method After some iterations the value of f(a) and f(b) will converge there you can say it is the root for the polynomial.Continue the steps again until you reached your result.For the first case set a=c ,else set b=c.Otherwise, f(a) and f(c) have opposite signs or f(b) and f(c) have opposite signs.Either f(c)=0 then we can stop directly as c will be itself the root.At each step divide the interval into halves c=a+b/2 and find the value of f(c). By intermediate value theorem, there must exist one root that lies between (a,b). Let f(x) be a function in an interval, where f is continuous and f(a) and f(b) have opposite signs. This method is also called interval halving method, binary search method, or dichotomy method. It is a very simple and robust method, but relatively slow. The method involves repeatedly bisecting of the interval and ultimately reaching to the desired root. This method is used to find roots in a continuous function between two given interval, given the two values to be in the opposite signs. In this tutorial, we are going to learn about the implementation of the bisection method in C++.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |