which is the actual root of the function.
\[x_{n+1} = x_n - rac{f(x_n)}{f'(x_n)}\] How To Code the Newton Raphson Method in Excel VBA.pdf
Sub NewtonRaphson(x0 As Double, tol As Double, max_iter As Integer) Dim x As Double Dim iter As Integer x = x0 iter = 0 Do While iter < max_iter x = x - f(x) / df(x) If Abs(f(x)) < tol Then Exit Do End If iter = iter + 1 Loop Range("A1").Value = x End Sub To call the subroutine, create a button in Excel and assign the subroutine to the button. Alternatively, you can call the subroutine from another VBA procedure. Step 6: Test the Code Test the code by running the subroutine with different initial guesses and tolerances. which is the actual root of the function
The Newton-Raphson method is an iterative method that uses an initial guess for the root of a function to converge to the actual root. The method is based on the idea of approximating the function at the current estimate of the root using a tangent line. The slope of the tangent line is given by the derivative of the function at the current estimate. The next estimate of the root is then obtained by finding the x-intercept of the tangent line. Step 6: Test the Code Test the code
where \(x_n\) is the current estimate of the root, \(f(x_n)\) is the value of the function at \(x_n\) , and \(f'(x_n)\) is the derivative of the function at \(x_n\) .
Function f(x As Double) As Double f = x ^ 2 - 2 End Function Function df(x As Double) As Double df = 2 * x End Function Create a new subroutine that implements the Newton-Raphson method. The subroutine should take the initial guess, tolerance, and maximum number of iterations as inputs.
Mathematically, the Newton-Raphson method can be expressed as:
Chat With Astrologer
