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Exact Computation Using Approximate Gröbner Bases
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| Organization: | Wolfram Research, Inc. |
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ACA 2008
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RISC, Linz, Austria
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Work presented at ACA 2008, RISC Linz, Austria, July 2008. Session: Gröbner Bases and their Applications
Abstract:
We discuss computation of approximate Gröbner bases at high but finite precision. We show how this can be used to deduce exact results for various applications. Examples include implicitizing surfaces, finding multivariate polynomial greatest common divisors and factorizations over the rational and complex number fields.
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Groebner bases, symbolic-numeric computation, polynomial algebra, absolute factorization
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http://www.risc.uni-linz.ac.at/about/conferences/aca2008/
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| ExactApproximateAlgebra.pdf (135.5 KB) - PDF Document | | ExactApproximateAlgebra.nb (238.9 KB) - Mathematica Notebook |
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