MATHEMATICA tutorial, Part 1.3: Bracketing Methods
www.cfm.brown.edu › people › dobrushAug 02, 2021 · Another popular algorithm is the method of false position or the regula falsi method. A better approach is obtained if we find the point c on the abscissa where the secant line crosses it. To determine the value of c , we write down two versions of the slope m f the line that connects the points \( (a, f(a)) \quad\mbox{and} \quad (b, f(b)) : \)
The Method of False Position
web.mit.edu › 10 › WebOne such method is the Method of False Position. Here, we start with an initial interval [ x 1 , x 2 ], and we assume that the function changes sign only once in this interval. Now we find an x 3 in this interval, which is given by the intersection of the x axis and the straight line passing through ( x 1 , f ( x 1 )) and ( x 2 , f ( x 2 )).