System of polynomial equations (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "System of polynomial equations" in English language version.

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7doi.org

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2uwo.ca

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2semanticscholar.org

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1researchgate.net

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1univ-rennes1.fr

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doi.org

Aubry, P.; Maza, M. Moreno (1999). "Triangular Sets for Solving Polynomial Systems: a Comparative Implementation of Four Methods". J. Symb. Comput. 28 (1–2): 125–154. doi:10.1006/jsco.1999.0270.
Faugère, J.C.; Gianni, P.; Lazard, D.; Mora, T. (1993). "Efficient Computation of Zero-Dimensional Gröbner Basis by Change of Ordering". Journal of Symbolic Computation. 16 (4): 329–344. doi:10.1006/jsco.1993.1051.
Lazard, D. (1992). "Solving zero-dimensional algebraic systems". Journal of Symbolic Computation. 13 (2): 117–131. doi:10.1016/S0747-7171(08)80086-7.
Rouillier, Fabrice (1999). "Solving Zero-Dimensional Systems Through the Rational Univariate Representation". Appl. Algebra Eng. Commun. Comput. 9 (9): 433–461. doi:10.1007/s002000050114. S2CID 25579305.
Lazard, Daniel (2009). "Thirty years of Polynomial System Solving, and now?". J. Symb. Comput. 44 (3): 2009. doi:10.1016/j.jsc.2008.03.004.
Verschelde, Jan (1999). "Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation" (PDF). ACM Transactions on Mathematical Software. 25 (2): 251–276. doi:10.1145/317275.317286. S2CID 15485257.
Rouillier, F.; Zimmerman, P. (2004). "Efficient isolation of polynomial's real roots". Journal of Computational and Applied Mathematics. 162 (1): 33–50. Bibcode:2004JCoAM.162...33R. doi:10.1016/j.cam.2003.08.015.

harvard.edu

ui.adsabs.harvard.edu

Rouillier, F.; Zimmerman, P. (2004). "Efficient isolation of polynomial's real roots". Journal of Computational and Applied Mathematics. 162 (1): 33–50. Bibcode:2004JCoAM.162...33R. doi:10.1016/j.cam.2003.08.015.

nd.edu

bertini.nd.edu

Bertini: Software for Numerical Algebraic Geometry

researchgate.net

Songxin Liang, J. Gerhard, D.J. Jeffrey, G. Moroz, A Package for Solving Parametric Polynomial Systems. Communications in Computer Algebra (2009)

rpi.edu

eaton.math.rpi.edu

Verschelde, Jan (1999). "Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation" (PDF). ACM Transactions on Mathematical Software. 25 (2): 251–276. doi:10.1145/317275.317286. S2CID 15485257.

semanticscholar.org

api.semanticscholar.org

Rouillier, Fabrice (1999). "Solving Zero-Dimensional Systems Through the Rational Univariate Representation". Appl. Algebra Eng. Commun. Comput. 9 (9): 433–461. doi:10.1007/s002000050114. S2CID 25579305.
Verschelde, Jan (1999). "Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation" (PDF). ACM Transactions on Mathematical Software. 25 (2): 251–276. doi:10.1145/317275.317286. S2CID 15485257.

sfu.ca

cecm.sfu.ca

Dahan, Xavier; Moreno Maza, Marc; Schost, Eric; Wu, Wenyuan; Xie, Yuzhen (2005). "Lifting techniques for triangular decompositions" (PDF). Proceedings of ISAAC 2005. ACM Press. pp. 108–105.

uic.edu

math.uic.edu

Release 2.3.86 of PHCpack

univ-rennes1.fr

perso.univ-rennes1.fr

Saugata Basu; Richard Pollack; Marie-Françoise Roy (2006). Algorithms in real algebraic geometry, chapter 12.4. Springer-Verlag.

uth.gr

inf.uth.gr

George E. Collins and Alkiviadis G. Akritas, Polynomial Real Root Isolation Using Descartes' Rule of Signs. Proceedings of the 1976 ACM Symposium on Symbolic and Algebraic Computation

uwo.ca

csd.uwo.ca

Xavier Dahan and Eric Schost. Sharp Estimates for Triangular Sets. Moreover, recent algorithms for decomposing polynomial systems into triangular decompositions produce regular chains with coefficients matching the results of Dahan and Schost. In proc. ISSAC'04, pages 103--110, ACM Press, 2004
Changbo Chen and Marc Moreno-Maza. Algorithms for Computing Triangular Decomposition of Polynomial Systems.In proc. ISSAC'2011, pages 83-90, ACM Press, 2011 and Journal of Symbolic Computation (to appear)