SECANT METHOD FREEMAT CODE
Although convergence is not guaranteed in this method, this method is the most economical one giving definitely rapid rate of convergence at low cost.īelow is a short and simple C programming source code for method to find the root of x^3 – 4 or x*x*x – 4.į(x) = x*x*x – 4 Source Code for Secant Method in C: #include The rate of convergence is fast once the method converges, its rate of convergence is 1.62, which is quite high. The secant method is faster than the bisection method as well as the regula-falsi method. Also, in this method, it is not mandatory that the interval should contain the root. Here, at each iteration, two of the most recent approximations of the root are utilized to find out the next approximation. The programming effort for Secant Method in C is a bit tedious, but it’s the most effective of all other method to find the root of a function. Also, the this method is an improvement over the Regula-Falsi method as approximation is done by a secant line during each iterative operation. The C program for Secant method requires two initial guesses, and the method overall is open bracket type. It is based on Newton-Raphson method, and being free from derivative it can be used as an alternative to Newton’s method. Secant method is the most effective approach to find the root of a function. Now, you can check the values of x and y and find the solution of the original equation. This can be achieved by dividing the quadratic equation by 2.įor example, if we have an equation like 3x^2 + 4x – 8 = 0.Ĭopy Code Copied Use a different Browser x = sqrt(8/3)/3 = sqrt(8/9)
SECANT METHOD FREEMAT HOW TO
In order to implement the secant method you need to know how to convert a quadratic equation to a linear equation. C Program for Secant Method How to Use the Secant Method in C Programming?
The basic idea of this method is that you divide the quadratic equation into two linear equations and then you use the solution of this new equation to get the values of x and y. It is also known as “Newton’s method without division”.
The this method is much faster than Newton’s method. There are two main methods to solve this equation, one is Newton’s method and the other is the secant method. The secant method is a method of finding the roots of the quadratic equation. So, here we are going to discuss the this method in c programming. The secant method in C Program is the most popular method to solve quadratic equations and this is mainly because of its simplicity and accuracy.
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