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math.NA2026
Optimal placement and tuning of pointwise dampers for vibrating strings via a Lyapunov framework
Josip Tambača, Ninoslav Truhar
We study the optimal placement and tuning of a small number of pointwise viscous dampers for a vibrating string. Starting from a finite element discretization of the damped wave eq…
math.NA2025
Structure-preserving deflation of critical eigenvalues in quadratic eigenvalue problems associated with damped mass-spring systems
Rafikul Alam, Volker Mehrmann, Ninoslav Truhar
For a quadratic matrix polynomial associated with a damped mass-spring system there are three types of critical eigenvalues, the eigenvalues and and the eigenvalues on…
math.NA2024
On Stewart's Perturbation Theorem for SVD
Ren-Cang Li, Ninoslav Truhar, Lei-Hong Zhang
This paper establishes a variant of Stewart's theorem (Theorem~6.4 of Stewart, {\em SIAM Rev.}, 15:727--764, 1973) for the singular subspaces associated with the SVD of a matrix su…