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In mathematics, the regula falsi, method of false position, or false position method is a very old method for solving an equation with one unknown; this method, ...
The false position method, also called the regula falsi method, is similar to the bisection method, but instead of using bisection search's middle of the interval it uses the x-intercept of the line that connects the plotted function values at the endpoints of the interval, that is
This means that the false position method always converges; however, only with a linear order of convergence. Bracketing with a super-linear order of convergence as the secant method can be attained with improvements to the false position method (see Regula falsi § Improvements in regula falsi) such as the ITP method or the Illinois method.
I concede that. But Regula Falsi and False Position are both popular and well-established names of the method. You'd be following established usage, and not leading, by using either one of those names. So that policy of sticking with established usage doesn't choose between the names "Regula Falsi" and "False Position".
Since the Han dynasty, as diophantine approximation being a prominent numerical method, the Chinese made substantial progress on polynomial evaluation. Algorithms like regula falsi and expressions like simple continued fractions are widely used and have been well-documented ever since.
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The solutions were possibly, but not likely, arrived at by using the "method of false position", or regula falsi, where first a specific value is substituted into the left hand side of the equation, then the required arithmetic calculations are done, thirdly the result is compared to the right hand side of the equation, and finally the correct ...
Regula falsi; Usage on de.wikibooks.org Ing Mathematik: Numerisches Lösen nichtlinearer Gleichungen; Usage on en.wikibooks.org Introduction to Numerical Methods/Roots of Equations; Usage on es.wikipedia.org Método de la regla falsa; Usage on fa.wikipedia.org روش نابجایی; Usage on fi.wikipedia.org Regula falsi -menetelmä; Usage on ...