10 citations · 16 across the 4 of their papers we have counts for
5 papers · 1 filter
Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices
Zlatko Drmač
This paper offers a review of numerical methods for computation of the eigenvalues of Hermitian matrices and the singular values of general and some classes of structured matrices.…
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…
Learning low-dimensional dynamical-system models from noisy frequency-response data with Loewner rational interpolation
Zlatko Drmač, Benjamin Peherstorfer
Loewner rational interpolation provides a versatile tool to learn low-dimensional dynamical-system models from frequency-response measurements. This work investigates the robustnes…
An algorithm for the complete solution of the quartic eigenvalue problem
Zlatko Drmač, Ivana Šain Glibić
Quartic eigenvalue problem naturally arises e.g. when solving the Orr-Sommerfeld equation in the analysis of the stability of the {P…
On least squares problems with certain Vandermonde--Khatri--Rao structure with applications to DMD
Zlatko Drmač, Igor Mezić, Ryan Mohr
This paper proposes a new computational method for solving structured least squares problems that arise in the process of identification of coherent structures in fluid flows. It i…