Publikace na Matematicko-fyzikální fakulta |
2015
Abstrakt
The paper by I. Hnetynkova et al. (2015) [11] introduces real wedge-shaped matrices that can be seen as a generalization of Jacobi matrices, and investigates their basic properties.
They are used in the analysis of the behavior of a Krylov subspace method: The band (or block) generalization of the Golub-Kahan bidiagonalization. Wedge-shaped matrices can be linked also to the band (or block) Lanczos method.
In this paper, we introduce a complex generalization of wedge-shaped matrices and show some further spectral properties, complementing the already known ones. We focus in particular on nonzero components of eigenvectors.