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NumericalSchubertCalculus :: NumericalSchubertCalculus

NumericalSchubertCalculus -- Numerical Schubert Calculus

Authors

Version

This documentation describes version 0.4 of NumericalSchubertCalculus.

Source code

The source code from which this documentation is derived is in the file NumericalSchubertCalculus.m2. The auxiliary files accompanying it are in the directory NumericalSchubertCalculus/.

Exports

  • Functions and commands
    • bracket2partition -- dictionary between different notations for Schubert conditions.
    • checkIncidenceSolution (missing documentation)
    • checkNewtonIteration (missing documentation)
    • createRandomFlagsForSimpleSchubert -- Create a list of flags with random numbers to solve a simple Schubert problem
    • findGaloisElement -- computes a permutation from a loop of an instance of a simple Schubert problem.
    • isFullSymmetric -- Check if a list of permutations generate the full symmetric group.
    • isGaloisFullSymmetric -- find Galois elements of a simple Schubert Problem until they generate the full symmetric group
    • LRcheater (missing documentation)
    • LRrule (missing documentation)
    • LRtriple (missing documentation)
    • parseTriplet (missing documentation)
    • partition2bracket -- dictionary between different notations for Schubert conditions.
    • randomSchubertProblemInstance (missing documentation)
    • randomSchubertProblemSolution (missing documentation)
    • setFlags (missing documentation)
    • setVerboseLevel (missing documentation)
    • skewSchubertVariety (missing documentation)
    • solutionsToAffineCoords -- writes solutions in global coords to affine coordinates.
    • solveSchubertProblem -- uses homotopies of geometric Littlewood-Richardson rule to solve Schubert problems on Grassmannians
    • solveSimpleSchubert -- Uses Pieri homotopies to solve simple Schubert problems
    • wrapTriplet (missing documentation)
  • Symbols
    • NSC'BLACKBOX (missing documentation)
    • NSC'DBG (missing documentation)
    • NSC'VERIFY'SOLUTIONS (missing documentation)