Titlebook: Software for Algebraic Geometry; Michael Stillman,Jan Verschelde,Nobuki Takayama Book 2008 Springer-Verlag New York 2008 Algebraic.GNU Oct

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Daniel J. Bates,Jonathan D. Hauenstein,Andrew J. Sommese,Charles W. Wampler II

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ApaTools: A Software Toolbox for Approximate Polynomial Algebra,ftware toolbox ApaTools for approximate polynomial algebra. This package includes Maple and Matlab functions implementing advanced numerical algorithms for practical applications, as well as basic utility routines that can be used as building blocks for developing other numerical and symbolic methods in computational algebra.

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,Computing Gröbner Fans and Tropical Varieties in Gfan,The Gröbner fan of an ideal in the polynomial ring in . variables is an .-dimensional polyhedral complex and the tropical variety of the ideal is a certain subcomplex. In this paper we describe the software Gfan for computing these fans. Computing the Gröbner fan is equivalent to computing all the reduced Gröbner bases of the ideal.

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978-1-4419-2675-3Springer-Verlag New York 2008

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Software for Algebraic Geometry978-0-387-78133-4Series ISSN 0940-6573 Series E-ISSN 2198-3224

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