J
2015
Complex wedge-shaped matrices: A generalization of Jacobi matrices
PLEŠINGER, Martin and Iveta HNĚTYNKOVÁ
Basic information
Original name
Complex wedge-shaped matrices: A generalization of Jacobi matrices
Authors
PLEŠINGER, Martin (203 Czech Republic, guarantor, belonging to the institution) and Iveta HNĚTYNKOVÁ (203 Czech Republic)
Edition
Linear Algebra and its Applications, Elsevier, 2015, 0024-3795
Other information
Type of outcome
Article in a journal
Field of Study
General mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
RIV identification code
RIV/46747885:24510/15:#0001239
Organization
Faculty of Science, Humanities and Education – Technical University of Liberec – Repository
Keywords in English
eigenvalues; eigenvectors; wedge-shaped matrices; generalized Jacobi matrices; band (or block) Krylov subspace methods
Tags
International impact, Reviewed
V originále
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.
Displayed: 8/6/2025 22:11