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Total Positivity Previous Next Contents

4. Total Positivity

   The preceding sections have dealt with Schubert conditions given by flags osculating a real rational normal curve. Recently, Shapiro and Shapiro have extended their conjecture, generalizing this choice of flags. This generalization involves totally positive matrices. Here, we describe that generalization and present some computational evidence in support of that extended conjecture.
  1. Total positivity and the conjecture of Shapiro and Shapiro.
  2. Parameterization of totally positive matrices.
  3. Computational evidence.
5. Further remarks.
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