324 citations · 1.3k across the 70 of their papers we have counts for
5 papers · 2 filters
Interpolatory methods for model reduction of multi-input/multi-output systems
Alessandro Castagnotto, Christopher Beattie, Serkan Gugercin
We develop here a computationally effective approach for producing high-quality -approximations to large scale linear dynamical systems having multiple inputs a…
-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems
Peter Benner, Pawan Goyal, Serkan Gugercin
We investigate the optimal model reduction problem for large-scale quadratic-bilinear (QB) control systems. Our contributions are threefold. First, we discuss the variational analy…
Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography
Meghan O'Connell, Misha E. Kilmer, Eric de Sturler +1
In nonlinear imaging problems whose forward model is described by a partial differential equation (PDE), the main computational bottleneck in solving the inverse problem is the nee…
Structure-preserving Model Reduction for Nonlinear Port-Hamiltonian Systems
Saifon Chaturantabut, Chris Beattie, Serkan Gugercin
This paper presents a structure-preserving model reduction approach applicable to large-scale, nonlinear port-Hamiltonian systems. Structure preservation in the reduction step ensu…
Preconditioning Parametrized Linear Systems
Arielle Grim-McNally, Eric de Sturler, Serkan Gugercin
Preconditioners are generally essential for fast convergence in the iterative solution of linear systems of equations. However, the computation of a good preconditioner can be expe…