false position method

This means that the false position method always converges.

The false position method (or regula falsi) uses the same formula as the secant method.

The false position method, also called the regula falsi method, is like the secant method.

Two basic types of false position method can be distinguished, simple false position and double false position.

The false position method or regula falsi method is a term for problem-solving methods in arithmetic, algebra, and calculus.

The false position method is faster than the bisection method and more robust than the secant method, but requires the two starting points to bracket the root.

In problems involving arithmetic or algebra, the false position method or regula falsi is used to refer to basic trial and error methods of solving problems by substituting test values for the unknown quantities.

The above formula is also used in the secant method, but the secant method always retains the last two computed points, while the false position method retains two points which certainly bracket a root.

The false position method is then applied to the transformed values, leading to a new value x, between x and x, which can be used as one of the two bracketing values in the next step of the iteration.

In numerical analysis, Ridders' method is a root-finding algorithm based on the false position method and the use of an exponential function to successively approximate a root of a function f. The method is due to C. Ridders (1979).