A family of regula falsi root-finding methods

【Author】

Sérgio Galdino;

【Abstract】

A family of regula falsi methods for finding a root ξ of a nonlinear equation f(x)=0 in the interval [a,b] is studied in this paper.The Illinois,Pegasus,Anderson & Bjrk and more nine new proposed methods have been tested on a series of examples.The new methods,inspired on Pegasus procedure,are pedagogically important algorithms.The numerical results empirically show that some of new methods are very effective.

【Keywords】

regula ralsi,root finding,nonlinear equations

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