Polynomial Decomposition Algorithms

  title={Polynomial Decomposition Algorithms},
  author={Dexter Kozen and Susan Landau},
  journal={J. Symb. Comput.},
We examine the question of when a polynomial f over a commutative ring has a nontrivial functional decomposition f = g ◦ h. Previous algorithms [2, 3, 1] are exponential-time in the worst case, require polynomial factorization, and only work over fields of characteristic 0. We present an O(n2)-time algorithm. We also show that the problem is in NC . The algorithm does not use polynomial factorization, and works over any commutative ring containing a multiplicative inverse of r. Finally, we give… CONTINUE READING
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