Batzke, Leonhard2021-12-172021-12-172014-07-282197-8085https://depositonce.tu-berlin.de/handle/11303/15820http://dx.doi.org/10.14279/depositonce-14593The spectral behavior of classes of structured regular matrix pencils is examined under certain structure-preserving rank-2 perturbations. For T-alternating, palindromic, and skew-symmetric matrix pencils we observe the following effects at each eigenvalue $\lambda$ under a generic, structure-preserving rank-2 perturbation: 1) The largest two Jordan blocks at $\lambda$ are destroyed. 2) If hereby the eigenvalue pairing imposed by the structure is violated, also the largest remaining Jordan block at $\lambda$ will grow in size by one. 3) If $\lambda$ is a single (double) eigenvalue of the perturbating pencil, one (two) new Jordan blocks of size one will be created at $\lambda$.en510 Mathematikmatrix pencilalternating matrix pencilpalindromic matrix pencilskew-symmetric matrix pencilperturbation theoryrank two perturbationgeneric perturbationResearch Paper