22 citations · 26 across the 6 of their papers we have counts for
7 papers
Randomization for the Efficient Computation of Parametric Reduced Order Models for Inversion
Selin Aslan, Eric de Sturler, Serkan Gugercin
Nonlinear parametric inverse problems appear in many applications. Here, we focus on diffuse optical tomography (DOT) in medical imaging to recover unknown images of interest, such…
The AAA framework for modeling linear dynamical systems with quadratic output
Ion Victor Gosea, Serkan Gugercin
We consider linear dynamical systems with quadratic output. We first define the two transfer functions, a single-variable and a multivariate one, that fully describe the dynamics o…
Estimating Dispersion Curves from Frequency Response Functions via Vector-Fitting
Mohammad I. Albakri, Vijaya V. N. Sriram Malladi, Serkan Gugercin +1
Driven by the need for describing and understanding wave propagation in structural materials and components, several analytical, numerical, and experimental techniques have been de…
Sampling-free parametric model reduction for structured systems
Christopher Beattie, Serkan Gugercin, Zoran Tomljanovic
We consider the reduction of parametric families of linear dynamical systems having an affine parameter dependence that differ from one another by a low-rank variation in the state…
Revisiting IRKA: Connections with pole placement and backward stability
C. Beattie, Z. Drmac, S. Gugercin
The iterative rational Krylov algorithm (\textsf{IRKA}) is a popular approach for producing locally optimal reduced-order -approximations to linear time-invariant (L…
-gap model reduction for stabilizable and detectable systems
Tobias Breiten, Chris A. Beattie, Serkan Gugercin
We formulate here an approach to model reduction that is well-suited for linear time-invariant control systems that are stabilizable and detectable but may otherwise be unstable. W…