NDLI: A subresultant-like theory for Buchberger’s procedure

Content Provider	Springer Nature Link
Author	Sasaki, Tateaki
Copyright Year	2013
Abstract	By restricting Buchberger’s procedure so as to match practical ones and extending the structure of subresultant considerably, we develop a subresultant-like theory for Buchberger’s procedure of Gröbner basis computation. As an application of the theory, we clarify the mechanism of main-term cancellation which is the main origin of instability of the computation of Gröbner bases with floating-point numbers.
Starting Page	137
Ending Page	164
Page Count	28
File Format	PDF
ISSN	09167005
Journal	Japan Journal of Industrial and Applied Mathematics
Volume Number	31
Issue Number	1
e-ISSN	1868937X
Language	English
Publisher	Springer Japan
Publisher Date	2013-10-08
Publisher Place	Tokyo
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Subresultant Buchberger’s procedure Main-term Cancellation Applications of Mathematics Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Engineering

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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A subresultant-like theory for Buchberger’s procedure