Software for Numerical Algebraic Geometry: A Paradigm and Progress Towards its Implementation

Author:

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

Publisher

Springer New York

Reference30 articles.

1. E.L. Allgower and K. Georg, Introduction to numerical continuation methods, Classics in Applied Mathematics, 45, SIAM, Philadelphia, 2003. Reprint of the 1990 edition (Springer-Verlag, Berlin).

2. D.J. Bates, J.D. Hauenstein, A.J. Sommese, and G.W. Wampler, Bertini: Software for Numerical Algebraic Geometry, available at www.nd.edu/ -sommese/bertini .

3. _____, Adaptive multiprecision path tracking, to appear SIAM J. Num. Anal.

4. D.F. Davidenko, On a new method of numerical solution of systems of nonlinear equations, Doklady Acad. Nauk SSSR (N.S.), 88:601-602, 1953.

5. J.W. Demmel, Applied Numerical Linear Algebra, SIAM, Philadelphia, 1997.

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