Type of Document Dissertation Author Novocin, Andrew Author's Email Address email@example.com URN etd-04132008-193323 Title Factoring Univariate Polynomials over the Rationals Degree Doctor of Philosophy Department Mathematics, Department of Advisory Committee
Advisor Name Title Mark van Hoeij Committee Chair Amod Agashe Committee Member Ettore Aldrovandi Committee Member Paolo Aluffi Committee Member Robert van Engelen Committee Member Keywords
- Symbolic Computation
- Computer Algebra
Date of Defense 2008-04-09 Availability unrestricted AbstractThis thesis presents an algorithm for factoring polynomials over the rationals which follows the approach of the
van Hoeij algorithm. The key theoretical novelty in our approach is that it is set up in a way that will make it possible to
prove a new complexity result for this algorithm which was actually observed on prior algorithms.
One difference of this algorithm from prior algorithms is the practical improvement which we call early termination.
Our algorithm should outperform prior algorithms in many common classes of polynomials (including irreducibles).
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