Počet záznamů: 1  

Complex Wedge-Shaped Matrices: A Generalization of Jacobi Matrices

  1. 1. 0448099 - UIVT-O 2016 RIV US eng J - Článek v odborném periodiku
    Hnětynková, Iveta - Plešinger, M.
    Complex Wedge-Shaped Matrices: A Generalization of Jacobi Matrices.
    Linear Algebra and Its Applications. Roč. 487, 15 December (2015), s. 203-219. ISSN 0024-3795
    Grant CEP: GA ČR GA13-06684S
    Klíčová slova: eigenvalues * eigenvector * wedge-shaped matrices * generalized Jacobi matrices * band (or block) Krylov subspace methods
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.965, rok: 2015

    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.
    Trvalý link: http://hdl.handle.net/11104/0249820