On the Solution of Linear Recurrence Equations

@article{Akra1998OnTS,
  title={On the Solution of Linear Recurrence Equations},
  author={Mohamad A. Akra and Louay Bazzi},
  journal={Computational Optimization and Applications},
  year={1998},
  volume={10},
  pages={195-210}
}
AbstractIn this article, we present a general solution for linear divide-and-conquer recurrences of the form $$u_n = \sum\limits_{i = 1}^k {a_i u} $$ ⌊ $$\frac{n}{{b_i }}$$ ⌋ + g(n) Our approach handles more cases than the Master method does {1}. We achieve this advantage by defining a new transform - the Order transform - which has useful properties for providing asymptotic answers (compared to other transforms which supply exact answers). This transform helps in mapping the sequence under… 
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