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arXiv · 1802.00984

Numerical Schubert Calculus via the Littlewood-Richardson Homotopy Algorithm

Anton Leykin·Abraham Martin del Campo·Frank Sottile·Ravi Vakil·Jan Verschelde
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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.

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Anton Leykin, Abraham Martin del Campo, Frank Sottile, Ravi Vakil, Jan Verschelde. 2018-02-03. Numerical Schubert Calculus via the Littlewood-Richardson Homotopy Algorithm. https://arxiv.org/abs/1802.00984

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