3 papers
math.NA2025
On properties and numerical computation of critical points of eigencurves of bivariate matrix pencils
Bor Plestenjak
We investigate critical points of eigencurves of bivariate matrix pencils . Points for which form algebraic curves in and we…
physics.class-ph2025
Computing leaky waves in semi-analytical waveguide models by exponential residual relaxation
Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer
Semi-analytical methods for the modeling of guided waves in structures of constant cross-section lead to frequency-dependent polynomial eigenvalue problems for the wavenumbers and…
math.NA2025
Numerical methods for eigenvalues of singular polynomial eigenvalue problems
Michiel E. Hochstenbach, Christian Mehl, Bor Plestenjak
Recently, three numerical methods for the computation of eigenvalues of singular matrix pencils, based on a rank-completing perturbation, a rank-projection, or an augmentation were…