A new efficient algorithm for computing Gröbner bases without reduction to zero
Identifieur interne : 005A60 ( Hal/Checkpoint ); précédent : 005A59; suivant : 005A61A new efficient algorithm for computing Gröbner bases without reduction to zero
Auteurs : Jean-Charles Faugère [France]Source :
Abstract
Goal of F5 Computing Gröbner bases of $(f_1,\ldots,f_m)$: Buchberger algorithm or F4 Open issue: remove useless computations. 90% of the time is spent in computing zero --> a more powerful criterion to remove useless critical pairs. Goal of F5: theoretical and practical answer.
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<front><div type="abstract" xml:lang="en">Goal of F5 Computing Gröbner bases of $(f_1,\ldots,f_m)$: Buchberger algorithm or F4 Open issue: remove useless computations. 90% of the time is spent in computing zero --> a more powerful criterion to remove useless critical pairs. Goal of F5: theoretical and practical answer.</div>
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<abstract xml:lang="en">Goal of F5 Computing Gröbner bases of $(f_1,\ldots,f_m)$: Buchberger algorithm or F4 Open issue: remove useless computations. 90% of the time is spent in computing zero --> a more powerful criterion to remove useless critical pairs. Goal of F5: theoretical and practical answer.</abstract>
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