Complex wedge-shaped matrices: A generalization of Jacobi matrices
| Type of publication: | Article |
| Citation: | |
| Journal: | Linear Algebra and its Applications |
| Volume: | 487 |
| Year: | 2015 |
| Pages: | 203–219 |
| DOI: | 10.1016/j.laa.2015.09.017 |
| 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. |
| Preprint project: | NCMM |
| Preprint year: | 2015 |
| Preprint number: | 10 |
| Preprint ID: | NCMM/2015/10 |
| Keywords: | |
| Authors | |
| Added by: | [JP] |
| Total mark: | 0 |
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