### Approximating Real Stability Radii

- Series
- Applied and Computational Mathematics Seminar
- Time
- Monday, September 29, 2014 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Dr. Manuela Manetta – Georgia Tech Mathematics

The distance of a nxn stable matrix to the set of unstable matrices, the
so-called distance to instability, is a well-known measure of linear
dynamical system stability. Existing techniques compute this quantity
accurately but the cost is of the order of multiple SVDs of order n,
which makes the method suitable to middle size problems.
A new approach is presented, based on Newton's iteration applied to
pseudospectral abscissa, whose implementation is obtained by
discretization on differential equation for low-rank matrices,
particularly suited for large sparse matrices.