1. Regula-falsi Method

Sep 9, 2012 - 5 min - Uploaded by The Math YetiThank you! My only suggestion would be to mention in the video that the two.m files need to be.

Numerical Mathematics and Computing, 5th Ed. List of Fortran90 CodesNumerical Mathematicsand ComputingFifth EditionWard Cheney & David KincaidSample Fortran90 CodesIn the following table, each line/entry containsthe program file name,the page number where it can be found in the textbook,and a brief description.

Regula-falsi Method

BISECTIONRC - Nonlinear Equation Solver Using Bisection, with Reverse CommunicationBISECTIONRCNonlinear Equation Solver Using Bisection, with Reverse CommunicationBISECTIONRCis a FORTRAN90 library whichdemonstrates the simple bisection method for solving a scalar nonlinearequation in a change of sign interval, using reverse communication (RC).The routine assumes that an interval a,b is known, over whichthe function f(x) is continuous, and for which f(a)and f(b) are of opposite sign. By repeatedly computing and testingthe midpoint, the halving change of sign interval may be reduced,so that either the uncertainty interval or the magnitude of the function valuebecomes small enough to satisfy the user as an approximation to thelocation of a root of the function.This routine is in part a demonstration of the idea of reverse communication.Many zero finders require that the user define f(x) by writing a functionwith a very specific set of input and output arguments, and sometimes witha specific name, so that the user can call the zero finder, which in turncan call the function. This is sometimes an awkward formulation to follow.Reverse communication instead allows the user's calling program to retaincontrol of the function evaluation.To use the reverse communication zero finder, the user defines the valuesof A and B, and sets a parameter JOB to zero to indicate that this is thefirst call. From then on, the zero finder repeatedly returns a value X,asking the user to evaluate the function there.