Large-Scale Minimization of the Pseudospectral Abscissa (Matlab Software)

This Matlab software is intended to minimize the pseudospectral abscissa of a matrix-valued function of large size dependent on parameters smoothly.

It restricts the large matrix-valued function to small subspaces, and minimizes the pseudospectral abscissa of the resulting small matrix-valued functions. The algorithm is based on the solution of a sequence of such small problems. The subspaces are expanded gradually.