Single-Factor Hensel Lifting and its Application to the Straight-Line Complexity of Certain Polynomials

@inproceedings{Kaltofen1987SingleFactorHL,
  title={Single-Factor Hensel Lifting and its Application to the Straight-Line Complexity of Certain Polynomials},
  author={Erich Kaltofen},
  booktitle={STOC},
  year={1987}
}
Three theorems are presented that establish polynomial straight-line complexity for certain operations on polynomials given by straight-line programs of unbounded input degree. The first theorem shows how to compute a higher order partial derivative in a single variable. The other two theorems impose the degree of the output polynomial as a parameter of the length of the output program. First it is shown that if a straight-line program computes an arbitrary power of a multivariate polynomial… CONTINUE READING
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