Fortran Program For Secant Method
9.2 Secant Method, False Position Method, and Ridders' Method. For functions that are smooth near a root, the methods known respectively as false position (or regula falsi) and secant method generally converge faster than bisection. In both of these methods the function is assumed to be approximately linear in the local.
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.
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. 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. Secant method is faster than other numerical methods, except the. Its rate of convergence is, which is quite fast and high.
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.
Fortran Program For Secant Method
Fortran 77 Programs Fortran 77 Programs Related to the Book Book Title: Author: Publisher: Publication Place: New York Publication Date: September, 1997 ISBN's: 0-521-48143-0 (hardback); 0-521-48592-4 (paperback) List Prices: $110 (hardback); $42.95 (paperback) Other Info: 393 Pages; 7 x 10; 30 Line Diagrams; 5 Tables; 94 Exercises; Bibliography and Index Please Note:. Most programs listed here have appeared in the book (as indicated), which are copyrighted by Cambridge University Press. No warranties, express or implied, are made for any materials at this site. Introduction.: One-dimensional motion under a harmonic force (appeared in the book).