Numerical Schubert Calculus via the Littlewood-Richardson Homotopy Algorithm Institutional Repository Document uri icon

abstract

  • We develop the Littlewood-Richardson homotopy algorithm, which uses numerical continuation to compute solutions to Schubert problems on Grassmannians and is based on the geometric Littlewood-Richardson rule. One key ingredient of this algorithm is our new optimal formulation of Schubert problems in local Stiefel coordinates as systems of equations. Our implementation can solve problem instances with tens of thousands of solutions.

author list (cited authors)

  • Leykin, A., del Campo, A. M., Sottile, F., Vakil, R., & Verschelde, J.

complete list of authors

  • Leykin, Anton||del Campo, Abraham Martin||Sottile, Frank||Vakil, Ravi||Verschelde, Jan

Book Title

  • arXiv

publication date

  • February 2018