The basic idea behind this package is to make HOM4PS usable in/with ApCoCoA. HOM4PS uses Homotopy Continuation Method for Polynomial System Solving.
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
The hom4ps.exe must be at proper location in the ApCoCoA directory/hom4ps and you must have the permissions to read and write in this directory.
NUMERICAL ALGEBRAIC GEOMETRY:
Numerical algebraic geometry is the study based on homotopy continuation method and algebraic geometry. It has same relation to algebraic geomertry, as Numerical Linear Algebra to linear algebra. In Numerical Algebraic Geometry we can fine isolated solutions. For positive dimensional systems, we can find out numerical irreducible deocmpostions.
HOM4PS: Software for Numerical Algebraic Geometry
HOM4PS is a software desgined for computations in Numerical Algebric Geometry, particularly, for solving polynomial systems numerically using homotopy continuation method available at . Its a general-purpose solver, that was created for research about polynomial continuation.
The Key Features of HOM4PS are:
- Finds isolated solutions using the polyhedral homotopy.
- Finds isolated solutions using the classical linear homotopy.