Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm
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 …