newNumericalComputationOptions -- define homotopy options and configurations

Usage:

NCO = newNumericalComputationOptions(F, G)
Inputs:
- F, a list, a system of polynomials (need not be square) defining the variety
- G, a list, a system of polynomials (complete intersection) such that V(F) is an irreducible component of V(G), i.e. a witness model
Optional inputs:
- Submodel => a list, default value {}, a system of linear polynomials to slice the variety
- TempDirectory => ..., default value null
Outputs:
- NCO, an instance of the type NumericalComputationOptions, a MutableHashTable to keep track of options and configurations for the homotopy methods

Description

Creates a NumericalComputationOptions object. At mimumum it requires the model $F$ for which the ED Degree will be computed and a witness model $G$. A submodel $L$ may be passed in to "slice" the variety, by default it will be the empty set. A String indicating the temporary directory from which Bertini will read/write files during the run may also be passed in as an optional argument, by default it will be a random temporary file name. The temporary directory will be created if it does not exist.

i1 : R = QQ[x,y];

i2 : F = G = {x^2 + y^2 - 1};

i3 : dir = temporaryFileName();

i4 : NCO = newNumericalComputationOptions(F, G, TempDirectory => dir);

i5 : NCO#"TargetWeight" = apply(#gens R, i -> 1_R);

i6 : UED = homotopyEDDegree(NCO, "Weight", true, true)
-- warning: experimental computation over inexact field begun
--          results not reliable (one warning given per session)

o6 = 2

Ways to use newNumericalComputationOptions:

newNumericalComputationOptions(List,List)

For the programmer

The object newNumericalComputationOptions is a method function with options.

The source of this document is in EuclideanDistanceDegree.m2:399:0.