Newton_Raphson_Method

C++/Maths/Newton_Raphson.cpp

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+// C++ program for implementation of Newton Raphson Method for Solving Equations
+
+#include <iostream>
+#include <bits/stdc++.h>
+#define EPSILON 0.001
+using namespace std;
+
+// Bisection Method.
+// We are taking a function whose roots we want to find.
+// The function is x^3 - x^2  + 2
+double func(double x)
+{
+    return x * x * x - x * x + 2;
+}
+
+// Derivative of the above function which is 3*x*x - 2*x
+double derivFunc(double x)
+{
+    return 3 * x * x - 2 * x;
+}
+
+// Function to find the root
+// Its an Iterative method thats why this while loop is used.
+void newtonRaphson(double x)
+{
+    double h = func(x) / derivFunc(x);
+    while (abs(h) >= EPSILON)
+    {
+        h = func(x) / derivFunc(x);
+
+        // x(i+1) = x(i) - f(x) / f'(x)
+        x = x - h;
+    }
+
+    cout << "The value of the root is : " << x;
+}
+
+// Main Function / Main code to implement above function
+int main()
+{
+    double x0;
+    cout << "Enter Initial Guess:" << endl;
+    cin >> x0; // Enter Initial Guess here
+    newtonRaphson(x0);
+    return 0;
+}