- Referenced in 72 articles
- solving polynomial systems by the polyhedral homotopy continuation method. HOM4PS-2.0 is a software package ... FORTRAN 90 which implements the polyhedral homotopy continuation method for solving polynomial systems. It updates ... mixed cells; (2) combining the polyhedral and linear homotopies in one step...
- Referenced in 30 articles
- PHoM -- a polyhedral homotopy continuation method for polynomial systems. PHoM is a software package ... solutions of polynomial systems using a polyhedral homotopy continuation method. Among three modules constituting ... first module StartSystem constructs a family of polyhedral ... linear homotopy functions, based on the polyhedral homotopy theory, from input data for a given...
- Referenced in 29 articles
- solving polynomial systems by the polyhedral homotopy continuation method. The software leads existing codes...
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- zeros of a polynomial system by polyhedral homotopy continuation method. A notable feature of DEMiCs...
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- different numerical homotopy methods including the Polyhedral Homotopy continuation method. Based on the successful software...
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- PHoMpara-parallel implementation of the polyhedral homotopy continuation method for polynomial systems The polyhedral homotopy ... constructing a family of modified polyhedral homotopy functions, tracing the solution curves of the homotopy ... large size. Many characteristics of the polyhedral homotopy continuation method make parallel implementation efficient...
- Referenced in 3 articles
- method, as a combination of the polyhedral homotopy and the linear product homotopy, is proposed ... efficiency compared to the polyhedral or other homotopies on such systems. As an application...
- Referenced in 2 articles
- also used for linear and polyhedral homotopies...
- Referenced in 2 articles
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- MARS: A MAPLE/MATLAB/C resultant-based solver. The authors...