Regula falsi method

1. REGULA FALSI METHOD False Position Method

2. False-Position Method It seems that the simplest methods often converge the slowest. This certainly seems the case here. The bisection method does not use values of . Only their sign. However, the values could be exploited. One way to use values of is to bias the search according to value of : use a weighted average

3. False-Position Method Choose as the intercept of the secant line through and . Pick , the intercept then

4. False-Position Method

5. False-Position Method is first approximation to As in bisection, if or there must be a root Suppose , then SOURCE: http://www.ece.uwaterloo.ca/~dwharder/NumericalAnalysis/10RootFinding/falseposition/examples.html