Fortran Program For Secant Method

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Untitled PROGRAMS WRITTEN IN FORTRAN PROGRAMMING LANGUAGE 1. Finding the roots of an equation using method 2. Finding the roots of an equation using method 3. Finding the roots of an equation using method 4.

Finding the roots of a system of equations using method 5. Finding the roots of a linear system of equations using 6. Finding the of a square matrix 7. Finding the of a square matrix 8. Solving the linear system of equations by method 9. Finding the method 10. Solving the linear system of equations by method 11.

This program calculates the real or complex roots of algebraic equations of degree 2, 3 and 4; Explanation File of Program above (Root4) NEW; Root testing program for polynomials; Division of Polynomials; Program to demonstrate Secant method; Program to demonstrate the Aitken Steffenson iteration.

Solving the linear system of equations by method 12. Solving the linear system of equations by method 13. Solving the linear system of equations of N equations with M unknowns by method 14. Finding the largest eigenvalue and corresponding eigenvector by method 15. Finding the smallest eigenvalue and corresponding eigenvector by method 16. Finding all eigenvalues and corresponding eigenvectors by method 17.

An integration program based on extrapolation to the Limit 18. Rule (Trap.for) 19. Gauss Quadrature 20.

Fortran Program For Secant Method Example

Secant method is considered to be the most effective approach to find the root of a non-linear function. It is a generalized from the and does not require obtaining the derivatives of the function. So, this method is generally used as an alternative to Newton Raphson method.

Fortran

Secant method falls under open bracket type. The programming effort may be a tedious to some extent, but the secant method algorithm and flowchart is easy to understand and use for coding in any high level programming language. This method uses two initial guesses and finds the root of a function through interpolation approach.

Program

Here, at each successive iteration, two of the most recent guesses are used. That means, two most recent fresh values are used to find out the next approximation.

Features of Secant Method:. No. Also see, Secant method is an improvement over the as successive approximations are done using a secant line passing through the points during each iteration. Following the secant method algorithm and flowchart given above, it is not compulsory that the approximated interval should contain the root.

Fortran Program For Secant Method Pdf

Secant method is faster than other numerical methods, except the. Its rate of convergence is, which is quite fast and high.

Secant Method Code Matlab

However, convergence is not always guaranteed in this method. But, overall, this method proves to be the most economical one to find the root of a function.