129 lines
3.3 KiB
BibTeX
129 lines
3.3 KiB
BibTeX
@article{AMP3,
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title={Efficient path tracking methods},
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author={Bates, Daniel J and Hauenstein, Jonathan D and Sommese, Andrew J},
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journal={Numerical Algorithms},
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volume={58},
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number={4},
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pages={451--459},
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year={2011},
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publisher={Springer}
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}
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@article{AMP2,
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title={Stepsize control for path tracking},
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author={Bates, Daniel J and Hauenstein, Jonathan D and Sommese, Andrew J and Wampler II, CW},
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journal={Contemporary Mathematics},
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volume={496},
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pages={21},
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year={2009}
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}
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@article{AMP1,
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title={Adaptive multiprecision path tracking},
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author={Bates, Daniel J and Hauenstein, Jonathan D and Sommese, Andrew J and Wampler, Charles W},
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journal={SIAM Journal on Numerical Analysis},
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volume={46},
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number={2},
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pages={722--746},
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year={2008},
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publisher={SIAM}
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}
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@book{bertinibook,
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author = {Daniel J. Bates and Jonathan D. Hauenstein and Andrew J. Sommese and Charles W. Wampler},
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publisher = {SIAM},
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title = {Numerically Solving Polynomial Systems with Bertini},
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year = {2013},
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edition = {First},
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isbn = {978-1-611972-69-6},
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}
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@article{cyclic_n,
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title={Computing all nonsingular solutions of cyclic-n polynomial using polyhedral homotopy continuation methods},
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author={Dai, Yang and Kim, Sunyoung and Kojima, Masakazu},
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journal={Journal of Computational and Applied Mathematics},
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volume={152},
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number={1},
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pages={83--97},
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year={2003},
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publisher={Elsevier}
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}
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@article{watson1987algorithm,
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title={Algorithm 652: HOMPACK: A suite of codes for globally convergent homotopy algorithms},
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author={Watson, Layne T and Billups, Stephen C and Morgan, Alexander P},
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journal={ACM Transactions on Mathematical Software (TOMS)},
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volume={13},
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number={3},
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pages={281--310},
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year={1987},
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publisher={ACM}
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}
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136
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@article{morgan1992computing,
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title={Computing singular solutions to polynomial systems},
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author={Morgan, Alexander P and Sommese, Andrew J and Wampler, Charles W},
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journal={Advances in Applied Mathematics},
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volume={13},
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number={3},
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pages={305--327},
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year={1992},
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publisher={Elsevier}
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}
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135
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@article{morgan1990computing,
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title={Computing singular solutions to nonlinear analytic systems},
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author={Morgan, Alexander P and Sommese, Andrew J and Wampler, Charles W},
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journal={Numerische Mathematik},
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volume={58},
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number={1},
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pages={669--684},
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year={1990},
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publisher={Springer}
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}
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137
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@article{morgan1992power,
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title={A power series method for computing singular solutions to nonlinear analytic systems},
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author={Morgan, Alexander P and Sommese, Andrew J and Wampler, Charles W},
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journal={Numerische Mathematik},
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volume={63},
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number={1},
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pages={391--409},
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year={1992},
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publisher={Springer}
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}
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@article{morgan1987homotopy,
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title={A homotopy for solving general polynomial systems that respects m-homogeneous structures},
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author={Morgan, Alexander and Sommese, Andrew},
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journal={Applied Mathematics and Computation},
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volume={24},
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number={2},
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pages={101--113},
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year={1987},
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publisher={Elsevier}
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}
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@article{griewank1983analysis,
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title={Analysis of Newton’s method at irregular singularities},
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author={Griewank, Andreas and Osborne, Michael R},
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journal={SIAM Journal on Numerical Analysis},
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volume={20},
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number={4},
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pages={747--773},
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year={1983},
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publisher={SIAM}
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}
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