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Complex wedge-shaped matrices: A generalization of Jacobi matrices
Type of publication: Article
Citation: Hnětynková2015203
Publication status: Published
Journal: Linear Algebra and its Applications
Volume: 487
Year: 2015
Pages: 203 - 219
ISSN: 0024-3795
URL: http://www.sciencedirect.com/s...
DOI: 10.1016/j.laa.2015.09.017
Abstract: 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.
Keywords: Band (or block) Krylov subspace methods
Authors Hnětynková, Iveta
Plešinger, Martin
Added by: [JH]
Total mark: 0
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