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Author: Hrithik Raj

Newton-Raphson.cpp

@@ -0,0 +1,36 @@
+/* Newton Raphson Method */
+#include <iostream>
+#include <iomanip>
+#include <math.h>
+using namespace std;
+float f(float x){
+    return x*log10(x)-1.2;
+}
+float df(float x){
+    return log10(x) + 0.43429;
+}
+int main(){
+    int itr,maxitr;
+    float h,x0,x1,aerr;
+    cout << "Enter x0,allowed error,"
+    << "maximum iterations" << endl;
+    cin >> x0 >> aerr >> maxitr;
+    cout << fixed;
+    for (itr=1;itr<=maxitr;itr++){
+        h = f(x0)/df(x0);
+        x1 = x0-h;
+        cout << "Iteration no." << setw(3) << itr
+        << "X = " << setw(9) << setprecision(6)
+        << x1 << endl;
+        if (fabs(h) < aerr){
+            cout << "After" << setw(3) << itr
+            << "iterations, root = "
+            << setw(8) << setprecision(6) << x1;
+            return 0;
+        }
+        x0 = x1;
+    }
+    cout << "Iterations not sufficient,"
+    << "solution does not converge" << endl;
+    return 1;
+}