MPI-INF D1 Publications: Journal Article: Division-Free Computation of Subresultants Using {Bezout} Matrices

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Author, Editor(s)

Author(s):

Kerber, Michael

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BibTeX cite key*:

kerber-ijcm-2009

Title

Title*:

Division-Free Computation of Subresultants Using Bezout Matrices

Journal

Journal Title*:	International Journal of Computer Mathematics	Journal's URL:	http://www.tandf.co.uk/journals/titles/00207160.html
Download URL for the article:	http://dx.doi.org/10.1080/00207160802460595	Language:	English

Publisher

Publisher's Name:	Taylor&Francis	Publisher's URL:	http://www.taylorandfrancisgroup.com/
Publisher's Address:	London	ISSN:	0020-7160

Vol, No, pp, Date

Volume*:	86	Number:	12
Publishing Date:	December 2009
Pages*:	2186-2200	Number of VG Pages:	15
Page Start:	2186	Page End:	2200
Sequence Number:		DOI:	10.1080/00207160802460595

Note, Abstract, ©

Note:
(LaTeX) Abstract:	We present an algorithm to compute the subresultant sequence of two polynomials that completely avoids division in the ground domain, generalizing an algorithm \revised{given by} Abdeljaoued et al.\ (see Abdeljaoed et al.: Minors of Bezout Matrices\ldots, Int.\ J.\ of Comp.\ Math.\ 81, 2004). We evaluate determinants of slightly manipulated Bezout matrices using the algorithm of Berkowitz. Although the algorithm gives worse complexity bounds than pseudo-division approaches, our experiments show that our approach is superior for input polynomials with moderate degrees if the ground domain contains indeterminates.
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Categories, Keywords:	Subresultant, Bezout matrix, Polynomial gcd
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Download Access Level:	Public

Correlation

MPG Unit:	Max-Planck-Institut für Informatik

MPG Subunit:	Algorithms and Complexity Group
Appearance:	MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort

BibTeX Entry:

@ARTICLE{kerber-ijcm-2009,
AUTHOR = {Kerber, Michael},
TITLE = {Division-Free Computation of Subresultants Using {Bezout} Matrices},
JOURNAL = {International Journal of Computer Mathematics},
PUBLISHER = {Taylor&Francis},
YEAR = {2009},
NUMBER = {12},
VOLUME = {86},
PAGES = {2186--2200},
ADDRESS = {London},
MONTH = {December},
ISBN = {0020-7160},
DOI = {10.1080/00207160802460595},
}

Entry last modified by Anja Becker, 03/08/2010

Edit History (please click the blue arrow to see the details)

	Editor(s) [Library]	Created 01/05/2010 10:20:31
Revisions 4. 3. 2. 1. 0.	Editor(s) Anja Becker Anja Becker Michael Kerber Michael Kerber Michael Kerber	Edit Dates 08.03.2010 13:52:46 08.03.2010 13:52:23 01/05/2010 10:49:27 AM 01/05/2010 10:34:25 AM 01/05/2010 10:20:31 AM

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