Intervals, Syzygies, Numerical Gröbner Bases: A Mixed Study

• Published in: Computer Algebra in Scientific Computing pp. 64 - 76
• Main Authors: Bodrato, Marco, Zanoni, Alberto
• Format: Book Chapter
• Language: English
• Published: Berlin, Heidelberg Springer Berlin Heidelberg 2006
• Series: Lecture Notes in Computer Science
• Subjects: Gröbner bases; numerical coefficients; syzygies

In Gröbner bases computation, as in other algorithms in commutative algebra, a general open question is how to guide the calculations coping with numerical coefficients and/or not exact input data. It often happens that, due to error accumulation and/or insufficient working precision, the obtained r...