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  A Deterministic Algorithm for Isolating Real Roots of a Real Polynomial

Mehlhorn, K., & Sagraloff, M. (2011). A Deterministic Algorithm for Isolating Real Roots of a Real Polynomial. Journal of Symbolic Computation, 46(1), 70-90. doi:10.1016/j.jsc.2010.09.004.

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 Creators:
Mehlhorn, Kurt1, Author           
Sagraloff, Michael1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We describe a bisection algorithm for root isolation of polynomials with real coefficients. It is assumed that the coefficients can be approximated with arbitrary precision; exact computation in the field of coefficients is not required. We refer to such coefficients as bitstream coefficients. The algorithm is simpler, deterministic and has better asymptotic complexity than the randomized algorithm of Eigenwillig et al. (2005). We also discuss a partial extension to multiple roots.

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Language(s): eng - English
 Dates: 20112011
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 618656
DOI: 10.1016/j.jsc.2010.09.004
URI: http://dx.doi.org/10.1016/j.jsc.2010.09.004
Other: Local-ID: C1256428004B93B8-A0FD28893140854AC125781C003E51F3-MS:Bistream:2011
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Title: Journal of Symbolic Computation
Source Genre: Journal
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Publ. Info: Amsterdam : Elsevier
Pages: - Volume / Issue: 46 (1) Sequence Number: - Start / End Page: 70 - 90 Identifier: -