TY  - JOUR
ID  - Hnětynková2015203
T1  - Complex wedge-shaped matrices: A generalization of Jacobi matrices
A1  - Hnětynková, Iveta
A1  - Plešinger, Martin
JA  - Linear Algebra and its Applications
Y1  - 2015
VL  - 487
SP  - 203
EP  - 219
SN  - 0024-3795
UR  - http://www.sciencedirect.com/science/article/pii/S0024379515005327
M2  - doi: 10.1016/j.laa.2015.09.017
KW  - Band (or block) Krylov subspace methods
N2  - Abstract The paper by I. Hnětynková 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.
ER  -