Numerical Schubert Calculus defining Schubert Induction with PHCv2.3.16

This directory is entirely new in release 2.2 of PHCpack,
it implements a geometric Littlewood-Richardson rule.

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file name                     : short description
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checker_boards                : defines checker boards
checker_boards_io             : input/output of boards and permutations
checker_moves                 : operations to move black and white checkers
checker_localization_patterns : pattern for matrix based on checker game
checker_posets                : Littlewood-Richardson rule by checker game
checker_posets_io             : output of posets with moves in checker game
intersection_posets           : combine posets for several conditions
intersection_posets_io        : output of formal sums and equations
ts_checkers                   : interactive test program
ts_induce                     : interactive test program for homotopies
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The program "ts_checkers" is based on the paper by Ravi Vakil
on "A geometric Littlewood-Richardson rule", Manuscript Feb 2003.
A joint project with Frank Sottile and Ravi Vakil will yield homotopies.
