منابع مشابه
Approximate Polynomial GCD over Integers with Digits-wise Lattice
For the given coprime polynomials over integers, we change their coefficients slightly over integers so that they have a greatest common divisor (GCD) over integers. That is an approximate polynomial GCD over integers. There are only two algorithms known for this problem. One is based on an algorithm for approximate integer GCDs. The other is based on the well-known subresultant mapping and the...
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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. This is an extended version of a paper for SYNASC 2010: Proceedings of the...
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ژورنال
عنوان ژورنال: ACM Communications in Computer Algebra
سال: 2009
ISSN: 1932-2240
DOI: 10.1145/1504347.1504351