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[1] William Gropp,et al. Mpi---the complete reference: volume 1 , 1998 .
[2] E. Allgower,et al. Numerical path following , 1997 .
[3] KimSunyoung,et al. PHoM – a Polyhedral Homotopy Continuation Method for Polynomial Systems , 2004 .
[4] Andrew J. Sommese,et al. The numerical solution of systems of polynomials - arising in engineering and science , 2005 .
[5] Tien-Yien Li. Numerical Solution of Polynomial Systems by Homotopy Continuation Methods , 2003 .
[6] L. Watson. Numerical linear algebra aspects of globally convergent homotopy methods , 1986 .
[7] Masayuki Noro,et al. OpenXM — an open system to integrate mathematical software (poster session) , 2001 .
[8] Jack Dongarra,et al. MPI - The Complete Reference: Volume 1, The MPI Core , 1998 .
[9] Andrew J. Sommese,et al. Numerical Irreducible Decomposition Using PHCpack , 2003, Algebra, Geometry, and Software Systems.
[10] Masha Sosonkina,et al. Algorithm 777: HOMPACK90: a suite of Fortran 90 codes for globally convergent homotopy algorithms , 1997, TOMS.
[11] Layne T. Watson,et al. Algorithm 652: HOMPACK: a suite of codes for globally convergent homotopy algorithms , 1987, TOMS.
[12] Layne T. Watson. Probability-one homotopies in computational science , 2002 .
[13] Eugene L. Allgower,et al. Continuation and path following , 1993, Acta Numerica.
[14] Jan Verschelde. Polynomial homotopy continuation with PHCpack , 2011, ACCA.
[15] Jonathan M. Borwein,et al. SIAM: “Setting the Default to Reproducible” in Computational Science Research , 2013 .
[16] A. Morgan. Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems , 1987 .
[17] Jan Verschelde,et al. Parallel Implementation of a Subsystem-by-Subsystem Solver , 2008, 2008 22nd International Symposium on High Performance Computing Systems and Applications.
[18] Jan Verschelde,et al. Computing feedback laws for linear systems with a parallel pieri homotopy , 2004, Workshops on Mobile and Wireless Networking/High Performance Scientific, Engineering Computing/Network Design and Architecture/Optical Networks Control and Management/Ad Hoc and Sensor Networks/Compil.
[19] Jan Verschelde,et al. Computing critical points of polynomial systems using phcpack and python , 2008 .
[20] Xiaoye S. Li,et al. Algorithms for quad-double precision floating point arithmetic , 2000, Proceedings 15th IEEE Symposium on Computer Arithmetic. ARITH-15 2001.
[21] S. Babson,et al. Emergent Design , 2007 .
[22] Tsung-Lin Lee,et al. HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method , 2008, Computing.
[23] Sosonkina Maria,et al. HOMPACK90: A Suite of FORTRAN 90 Codes for Globally Convergent Homotopy Algorithms , 1996 .
[24] Anton Leykin,et al. Numerical algebraic geometry , 2020, Applications of Polynomial Systems.
[25] Scott L. Bain. Emergent Design: The Evolutionary Nature of Professional Software Development (paperback) , 2008 .
[26] Jan Verschelde,et al. Regeneration, local dimension, and applications in numerical algebraic geometry , 2009 .
[27] Jan Verschelde,et al. PHClab: A MATLAB/Octave Interface to PHCpack , 2008 .
[28] Jonathan D. Hauenstein,et al. Software for numerical algebraic geometry: a paradigm and progress towards its implementation , 2008 .
[29] Yan Zhuang,et al. Parallel implementation of the polyhedral homotopy method , 2006, 2006 International Conference on Parallel Processing Workshops (ICPPW'06).
[30] Akiko Takeda,et al. PHoM – a Polyhedral Homotopy Continuation Method for Polynomial Systems , 2004, Computing.
[31] Andrew J. Sommese,et al. Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets , 2000, J. Complex..
[32] Jan Verschelde,et al. Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation , 1999, TOMS.
[33] E. Allgower,et al. Introduction to Numerical Continuation Methods , 1987 .
[34] Anton Leykin,et al. Decomposing solution sets of polynomial systems: a new parallel monodromy breakup algorithm , 2005, Int. J. Comput. Sci. Eng..
[35] J. Verschelde,et al. Numerical Homotopy Algorithms for Satellite Trajectory Control by Pole Placement 1 , 2002 .
[36] L. T. Watson,et al. Globally convergent homotopy methods: a tutorial , 1989, Conference on Numerical Ordinary Differential Equations.
[37] Anton Leykin,et al. Interfacing with the Numerical Homotopy Algorithms in PHCpack , 2006, ICMS.
[38] Jan Verschelde,et al. Computing dynamic output feedback laws , 2004, IEEE Transactions on Automatic Control.
[39] Jan Verschelde,et al. PHCpack in Macaulay2 , 2011, ArXiv.
[40] Anton Leykin,et al. PHCmaple : A Maple Interface to the Numerical Homotopy Algorithms in PHCpack ∗ , 2004 .
[41] Anton Leykin,et al. Factoring solution sets of polynomial systems in parallel , 2005, 2005 International Conference on Parallel Processing Workshops (ICPPW'05).
[42] Anton Leykin,et al. Parallel Homotopy Algorithms to Solve Polynomial Systems , 2006, ICMS.
[43] Tangan Gao,et al. Algorithm 846: MixedVol: a software package for mixed-volume computation , 2005, TOMS.