Algorithms_in_C++  1.0.0
Set of algorithms implemented in C++.
successive_approximation.cpp File Reference

Method of successive approximations using fixed-point iteration method. More...

#include <cmath>
#include <iostream>
Include dependency graph for successive_approximation.cpp:

Functions

static float eq (float y)
 
static float eqd (float y)
 
int main ()
 

Detailed Description

Method of successive approximations using fixed-point iteration method.

Function Documentation

◆ eq()

static float eq ( float  y)
static

equation 1

\[f(y) = 3y - \cos y -2\]

12 { return (3 * y) - cos(y) - 2; }

◆ eqd()

static float eqd ( float  y)
static

equation 2

\[f(y) = \frac{\cos y+2}{2}\]

17 { return 0.5 * (cos(y) + 2); }

◆ main()

int main ( void  )

Main function

20  {
21  float y, x1, x2, x3, sum, s, a, f1, f2, gd;
22  int i, n;
23 
24  for (i = 0; i < 10; i++) {
25  sum = eq(y);
26  std::cout << "value of equation at " << i << " " << sum << "\n";
27  y++;
28  }
29  std::cout << "enter the x1->";
30  std::cin >> x1;
31  std::cout << "enter the no iteration to perform->\n";
32  std::cin >> n;
33 
34  for (i = 0; i <= n; i++) {
35  x2 = eqd(x1);
36  std::cout << "\nenter the x2->" << x2;
37  x1 = x2;
38  }
39  return 0;
40 }
Here is the call graph for this function:
std::cos
T cos(T... args)
eqd
static float eqd(float y)
Definition: successive_approximation.cpp:17
std::cout
eq
static float eq(float y)
Definition: successive_approximation.cpp:12
std::cin
machine_learning::sum
T sum(const std::vector< std::valarray< T >> &A)
Definition: vector_ops.hpp:232