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Root finding numerical method

  • #1
Using ΔX=XH-XL as one of the convergence criteria in regula falsi may lead to infinite looping, e.g. f(x)=0.5x-2ln(x), with a bracket [7,10]. A better choice is to use the approximation error ΔX=|ΔXR|, i.e, the difference between the current estimate and the previous estimate of the root.
Modify the method and compare the number of iterations required with that of the standard method that uses only |f(x)| in the termination criterion. Use a function of your choice (be creative).

can somebody help me out with this? =(
 

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