Newton Raphson is good general purpose root finding method, but sometimes if function is very complicated then computing derivates will take much computational time, so to overcome this issue, in secant method we approximate the first order derivative term f’(r). Algorithm is more or less similar to secant method
C Programming Horner’s Method for Polynomial Evaluation - Mathematical Algorithms - Input is in form of array say poly where poly0 represent coefficient Given a polynomial of the form c n x n + c n-1 x n-1 + c n-2 x n-2 + + c 1 x + c and a value of x, find the value of polynomial for a given value of x. Mar 17, 2013 C Program for Secant Method. 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 (epsilon). Advantages. It evaluates one function at every iteration as compared with Newton’s method.
Convergence criterias are:-
- C1. Fixing apriori the total number of iterations N.
- C2. By testing the condition (| x_{i+1} - x_i |) (where i is the iteration number) less than some tolerance limit, say epsilon, fixed threshold.
C Implementation¶
C Program For Secant Method With Output Example
Output¶
C Program For Secant Method With Output
With this discussion, this series on solution of non linear equations with Iterative Methods concludes.