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How do you solve this recurrence relation

  1. Aug 24, 2010 #1
    Any suggestions on how to approach solving:

    [tex]\Psi(m,n) \leq \Psi\left(\left \lfloor\frac{m}{2}\right\rfloor,n_1\right) + \Psi\left(\left \lceil\frac{m}{2}\right\rceil,n_2\right) + 16n^*+11m \lceil\text{log }m\rceil
    [/tex]

    where [tex]n = n_1 + n_2 + n^*[/tex]
     
  2. jcsd
  3. Aug 25, 2010 #2
    I would start by making m = 2k. This would give you a more simple recursion, but that inequality and the arbitrary partition of n makes me wonder if it's possible to go beyond a partial computational solution.
     
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