Recursive Polynomial Remainder Sequence and the Nested Subresultants
Commutative Algebra
2010-07-13 v1 Symbolic Computation
Abstract
We give two new expressions of subresultants, nested subresultant and reduced nested subresultant, for the recursive polynomial remainder sequence (PRS) which has been introduced by the author. The reduced nested subresultant reduces the size of the subresultant matrix drastically compared with the recursive subresultant proposed by the authors before, hence it is much more useful for investigation of the recursive PRS. Finally, we discuss usage of the reduced nested subresultant in approximate algebraic computation, which motivates the present work.
Cite
@article{arxiv.0806.0488,
title = {Recursive Polynomial Remainder Sequence and the Nested Subresultants},
author = {Akira Terui},
journal= {arXiv preprint arXiv:0806.0488},
year = {2010}
}
Comments
12 pages. Presented at CASC 2005 (Kalamata, Greece, Septermber 12-16, 2005)