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

References

To explore the background and basis of the node document

Springer Journals Database

Total: 4 articles

  • [1] Jinhai Chen;;Weiguo Li, An exponential regula falsi method for solving nonlinear equations, Numerical Algorithms,
  • [2] M. Dowell;;P. Jarratt, A modified regula falsi method for computing the root of an equation, BIT,
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  • [4] Some efficient methods for enclosing simple zeros of nonlinear equations, BIT,

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