📚 Bibliography

BHSW13

Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler. Numerically Solving Polynomial Systems with Bertini. SIAM, first edition, 2013. ISBN 978-1-611972-69-6.

DKK03

Yang Dai, Sunyoung Kim, and Masakazu Kojima. Computing all nonsingular solutions of cyclic-n polynomial using polyhedral homotopy continuation methods. Journal of Computational and Applied Mathematics, 152(1):83–97, 2003.

GO83

Andreas Griewank and Michael R Osborne. Analysis of newton’s method at irregular singularities. SIAM Journal on Numerical Analysis, 20(4):747–773, 1983.

MS87

Alexander Morgan and Andrew Sommese. A homotopy for solving general polynomial systems that respects m-homogeneous structures. Applied Mathematics and Computation, 24(2):101–113, 1987.

MSW90

Alexander P Morgan, Andrew J Sommese, and Charles W Wampler. Computing singular solutions to nonlinear analytic systems. Numerische Mathematik, 58(1):669–684, 1990.

MSW92a

Alexander P Morgan, Andrew J Sommese, and Charles W Wampler. A power series method for computing singular solutions to nonlinear analytic systems. Numerische Mathematik, 63(1):391–409, 1992.

MSW92b

Alexander P Morgan, Andrew J Sommese, and Charles W Wampler. Computing singular solutions to polynomial systems. Advances in Applied Mathematics, 13(3):305–327, 1992.