Ridders' method: Difference between revisions

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which can be used as one of the two bracketing values in the next step of the iteration.
 
The other bracketing value is taken to be <math>x_1 </math> if <math>f(x_1)f(x_3) <0</math> (well-behaved case), or otherwise whichever of <math>x_0 </math> and <math>x_2 </math> has function value of opposite sign to <math>f(x_3)</math>. The method is repeated to this new interval.