Cellularblog240

Secant Method C Program Secant Method MATLAB Program. Secant method is an improvement over the Regula-Falsi method, 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. Sample Output: Enter the value of. C Program for Birge-Vieta Method; C Program for. The equation used in the following secant method c programs are as follows. Step 5: Exit Convergence criteria for Secant Method. Fixing apriori the total number of iterations (limit). Testing the condition (x i+1−x i), is less than some tolerance limit.

Secant Method is also root finding method of non-linear equation in numerical method. This is an open method, therefore, it does not guaranteed for the convergence of the root. This method is also faster than bisection method and slower than Newton Raphson method. Like Regula Falsi method, Secant method is also require two initial guesses to start the solution and there is no need to find the derivative of the function. But only difference between the secant method and Regula Falsi method is that:

• Secant method is open and Regula Falsi method is closed.
• Secant method does not guaranteed to the convergence of the root while Regula Falsi method does.
• Regula Falsi method is bracketing method but Secant method is not.
• In method of False position, check the sign of the function at each iteration but in secant method is not.

The formula of Secant method is same as False position such that:

At here, we write the code of Secant Method in MATLAB step by step. MATLAB is easy way to solve complicated problems that are not solve by hand or impossible to solve at page. MATLAB is develop for mathematics, therefore MATLAB is the abbreviation of MATrix LABoratory.

At here, we find the root of the function f(x) = x²-2 = 0 by using Secant Method with the help of MATLAB.

MATLAB Code of Secant Method

Other Numerical Methods with MATLAB Coding

Controller: CodeCogs

Interface

Secant

doublesecant(	double	(*f)(double)[function pointer]
double	x0 = -1E+7
double	x1 = 1E+7
double	eps = 1E-10
int	maxit = 1000	)

This is a root-finding algorithm which assumes a function to be approximately linear in the region of interest. Eachimprovement is taken as the point where the approximating line crosses the axis. The secant method retains onlythe most recent estimate, so the root does not necessarily remain bracketed.When the algorithm does converge, its order of convergence iswhere C is a constant and is the golden ratio.Let us now derive the actual recurrence relation used with this method.thereforeTo give you a better idea on the way this method works, the following graph shows different iterations in theapproximation process. Here is the associated list of pairs chosen at consecutive stepsThis algorithm finds the roots of the user-defined function

C Program For Secant Method With Output Data

f starting with an initial interval [x0, x1] and iteratingthe sequence above until either the accuracy eps is achieved or the maximum number of iterations maxitis exceeded.

References:

• Jean-Pierre Moreau's Home Page, http://perso.wanadoo.fr/jean-pierre.moreau/
• F.R. Ruckdeschel, 'BASIC Scientific Subroutines', Vol. II, BYTE/McGRAWW-HILL, 1981
• MathWorld, http://mathworld.wolfram.com/SecantMethod.html

Example 1

Output:

Parameters

f	the user-defined function
x0	Default value = -1E+7
x1	Default value = 1E+7
eps	Default value = 1E-10
maxit	Default value = 1000

C Program For Secant Method With Output

Authors

C Program For Secant Method With Output Function

Lucian Bentea (August 2005)

C Program For Secant Method With Output Example

Source Code

C Program For Secant Method With Output Number

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

Not a member, then Register with CodeCogs. Already a Member, then Login.