PHoMpara
swMATH ID:  1928 
Software Authors:  Gunji, T.; Kim, S.; Fujisawa, K.; Kojima, M. 
Description:  PHoMparaparallel implementation of the polyhedral homotopy continuation method for polynomial systems. The polyhedral homotopy continuation method (PHoM) is known to be a successful method for finding all isolated solutions of a system of polynomial equations. PHoM, an implementation of the method in C++, finds all isolated solutions of a polynomial system by constructing a family of modified polyhedral homotopy functions, tracing the solution curves of the homotopy equations, and verifying the obtained solutions. A software package PHoMpara parallelizes PHoM to solve a polynomial system of large size. Many characteristics of the polyhedral homotopy continuation method make parallel implementation efficient and provide excellent scalability. Numerical results include some large polynomial systems that had not been solved. 
Homepage:  http://link.springer.com/article/10.1007%2Fs0060700601662 
Keywords:  polynomials; parallel computation; numerical experiments; software package; polyhedral homotopy continuation method; numerical results 
Related Software:  PHCpack; PHoM; POLSYS_PLP; POLSYS_GLP; MonodromySolver; Macaulay2; DEMiCs; Bertini; Database of Polynomial Systems; PoSSo; NinfG/MPI 
Cited in:  5 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

PHoMparaparallel implementation of the polyhedral homotopy continuation method for polynomial systems. Zbl 1122.65048 Gunji, T.; Kim, S.; Fujisawa, K.; Kojima, M. 
2006

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Cited by 16 Authors
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Cited in 6 Fields
4  Numerical analysis (65XX) 
3  Algebraic geometry (14XX) 
2  Field theory and polynomials (12XX) 
2  Functions of a complex variable (30XX) 
2  Computer science (68XX) 
1  Real functions (26XX) 