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Bertini is a software package for numerically solving systems of polynomial equations. It can find both isolated solutions as well as positive-dimensional solutions.

Bertini is the product of a research program in numerical algebraic geometry. It uses many newly developed methods, including intersecting and projecting algebraic sets, adaptive precision path tracking, methods for treating singular sets, parameter homotopies, user-defined path tracking, and other new research.


Numerical Algebraic Geometry


Polynomial Systems

Numerical Methods

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  • Author(s):
    Daniel Bates, Charles Wampler, Andrew Sommese, Jonathan Hauenstein

    This book is a guide to concepts and practice in numerical algebraic geometry—the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files.

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