# Greatest common divisors of polynomials given by straight-line programs

@article{Kaltofen1988GreatestCD, title={Greatest common divisors of polynomials given by straight-line programs}, author={Erich Kaltofen}, journal={J. ACM}, year={1988}, volume={35}, pages={231-264} }

- Published in J. ACM 1988
DOI:10.1145/42267.45069

Algorithms on multivariate polynomials represented by straight-line programs are developed. First, it is shown that most algebraic algorithms can be probabilistically applied to data that are given by a straight-line computation. Testing such rational numeric data for zero, for instance, is facilitated by random evaluations modulo random prime numbers. Then, auxiliary algorithms that determine the coefficients of a multivariate polynomial in a single variable are constructed. The first main… CONTINUE READING

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