NumericalSchubertCalculus : Table of Contents

• NumericalSchubertCalculus -- Numerical Algorithms for Schubert Calculus
• bracket2partition -- dictionary between different notations for Schubert conditions.
• changeFlags -- continue solutions of a Schubert problem to another instance
• changeFlags(...,OneHomotopy=>...) -- strategy for moving solutions to a Schubert problem
• changeFlags(Matrix,List,Sequence) -- recursive call of change flags
• checkIncidenceSolution -- check if a solution satisfies an instance of a Schubert problem
• LRcheater -- A cheater's homotopy to a real Schubert triple intersection problem
• LRhomotopies -- interface to the Littlewood-Richardson homotopies in PHCpack
• LRnumber -- returns the number of solutions to the given Schubert problem
• LRnumber(...,Strategy=>...) -- strategy for computing the number of solutions to a Schubert problem
• LRrule -- computes the product of Schubert classes using geometric Littlewood-Richardson rule
• LRtriple -- uses Littlewood-Richardson homotopy algorithm to solve a Schubert problem
• LRtriple(...,RandomSeed=>...) -- option to set the seed of the random number generators.
• NSC2phc -- dictionary between different notations for Schubert problems.
• OneHomotopy -- strategy for changing flags.
• parseTriplet -- Parses the output from LRtriple into Macaulay2 objects.
• partition2bracket -- dictionary between different notations for Schubert conditions.
• PieriHomotopies -- runs the Pieri homotopies to solve a general hypersurface problem
• PieriRootCount -- the number of solutions to a generic Pieri problem
• PieriRootCount(...,Verbose=>...) -- request verbose feedback
• printStatistics -- summary statistics (used by developers)
• randomSchubertProblemInstance -- returns a random instance of a given Schubert problem
• randomSchubertProblemInstance(...,Strategy=>...) -- strategy for creating a random matrix representing a flag
• RandomSeed -- seed for the random number generators.
• setVerboseLevel -- set different levels of information printed on screen
• solutionsToAffineCoords -- writes solutions in global coords to affine coordinates.
• solveSchubertProblem -- uses Littlewood-Richardson homotopy algorithm to solve a Schubert problem
• solveSchubertProblem(...,LinearAlgebra=>...) -- switch between Linear Algebra and Parameter Homotopy
• solveSimpleSchubert -- uses Pieri homotopy algorithm to solve a simple Schubert problem
• WorkingPrecision -- option to raise the working precision to double double or quad double.
• wrapTriplet -- Wraps a flag, system, and solutions into one string for phc -e.