Continuously Parameterized Symmetries and Buchberger's Algorithm

Authors: 
Hemmecke, Ralf
Year: 
1996
Language: 
English
Abstract: 
Systems of polynomial equations often have symmetries. In solving such a system using Buchberger's algorithm, the symmetries are neglected. Incorporating symmetries into the solution process enables us to solve larger problems than with Buchberger's algorithm alone. This paper presents a method that shows how this can be achieved and also gives an algorithm that brings together continuously parameterized symmetries with Buchberger's algorithm.
Pubdate / Erscheinungsdatum: 
1996
Pages / Seitenanzahl: 
14
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