Computational Mathematics and Scientific Computing Seminar
Fast Algorithms for Optimal Damping in Mechanical Systems
Time and Location:
Feb. 20, 2026 at 10AM; Warren Weaver Hall, Room 1302Speaker:
Francoise Tisseur, University of ManchesterLink:
Seminar homepageAbstract:
Optimal damping seeks to determine a vector of damping coefficients that
maximizes the decay rate of a mechanical system's response. This problem
can be formulated as the minimization of the trace of the solution to a
Lyapunov equation whose coefficient matrix depends on the damping
parameters, which must satisfy nonnegativity constraints for physical
relevance. We propose two fast algorithms for solving this resulting
nonlinear optimization problem under nonnegativity constraints and
demonstrate their computational efficiency.
This is joint work with Professor Qingna Li at the Beijing Institute of
Technology.