LRcheater -- A cheater's homotopy to a real Schubert triple intersection problem

Synopsis

Usage:

t = LRcheater(n,m,w)
Inputs:
- n, an integer, the ambient dimension
- m, a matrix, in the rows are the intersection conditions, the first element of each row is the number of times the intersection bracket must be taken.
- w, a string, the outcome of LRtriple(n,m), wrapped into string.
Optional inputs:
- Verbose => ..., default value true, request verbose feedback
Outputs:
- t, a string, solutions to a a real triple Schubert intersection problem.

A cheater's homotopy between two polynomial systems connects a generic instance to a specific instance. This is similar in function to changeFlags

The example below solves a generic instance of [2 4 6]^3, followed by a cheater homotopy to a real instance.

i1 : R := ZZ;

i2 : n := 6;

i3 : m := matrix{{3, 2, 4, 6}};

              1        4
o3 : Matrix ZZ  <--- ZZ

i4 : t := LRtriple(n,m);

i5 : w := wrapTriplet(t);