Singular Manual: numerDecom_lib

> | ### D.5.9 numerDecom_lib Todos/Issues: does not follow the naming convention syntax errors in examples no test suite Library: NumDecom.lib Purpose: Numerical Decomposition of Ideals Overview: The library contains procedures to compute numerical irreducible decomposition, and numerical primary decomposition of an algebraic variety defined by a polynomial system. The use of the library requires to install Bertini (@uref{http://www.nd.edu/~sommese/bertini}). Author: Shawki AlRashed, rashed@mathematik.uni-kl.de; sh.shawki@yahoo.de Procedures:
> D.5.9.1 re2squ |  | reduction to square system
> D.5.9.2 UseBertini |  | use Bertini to compute the solutions of the homotopy function
> D.5.9.3 Singular2bertini |  | adopt the list to be a read file in Bertini as a start solution set
> D.5.9.4 bertini2Singular |  | adopt the file of solutions of the homotopy function to be a list in SINGULAR
> D.5.9.5 ReJunkUseHomo |  | remove junk points using the homotopy function
> D.5.9.6 JuReTopDim |  | remove junk points that are on top-dimensional component
> D.5.9.7 JuReZeroDim |  | remove junk points from 0-dimensional component
> D.5.9.8 WitSupSet |  | witness point super set
> D.5.9.9 WitSet |  | witness point set
> D.5.9.10 NumIrrDecom |  | numerical irreducible decomposition
> D.5.9.11 defl |  | deflation of ideal I
> D.5.9.12 NumPrimDecom |  | numerical primary decomposition

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