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I am a postgraduate student with interest in numerical methods for solving nonlinear systems of equations. I have read some papers that discussed about 'computational order of convergence' for some iterative methods for example Increasing the order of convergence of iterative schemes for solving nonlinear systems, but still I can't explain it or implement it practically using MATLAB.

Please, can somebody help me with a good reference to understand how to compute the computational order of convergence for my proposed iterative method?

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    $\begingroup$ Are you asking how the "order of convergence" is defined? Or how to find out about the order of convergence of a method you have implemented? $\endgroup$ – Wolfgang Bangerth Aug 21 '13 at 13:50
  • $\begingroup$ I am not asking about how the order of convergence is defined, rather I will like to became rich in the "computational order of convergence" literature. $\endgroup$ – Hassan Aug 25 '13 at 21:34
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    $\begingroup$ Every book about numerical methods has a section on determining the order of convergence experimentally. $\endgroup$ – Wolfgang Bangerth Aug 26 '13 at 3:20

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