Complex wedge-shaped matrices: A generalization of Jacobi
matrices

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Complex wedge-shaped matrices: A generalization of Jacobi matrices

Přehled o publikaci

J 2015

Complex wedge-shaped matrices: A generalization of Jacobi matrices

PLEŠINGER, Martin a Iveta HNĚTYNKOVÁ

Základní údaje

Originální název

Complex wedge-shaped matrices: A generalization of Jacobi matrices

Autoři

PLEŠINGER, Martin (203 Česká republika, garant, domácí) a Iveta HNĚTYNKOVÁ (203 Česká republika)

Vydání

Linear Algebra and its Applications, Elsevier, 2015, 0024-3795

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

Obecná matematika

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

odkaz na článek

Kód RIV

RIV/46747885:24510/15:#0001239

Organizace

Fakulta přírodovědně-humanitní a pedagogická – Technická univerzita v Liberci – Repozitář

DOI

http://dx.doi.org/10.1016/j.laa.2015.09.017

UT WoS

000364249400011

Klíčová slova anglicky

eigenvalues; eigenvectors; wedge-shaped matrices; generalized Jacobi matrices; band (or block) Krylov subspace methods

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 23. 3. 2016 10:42, Martin Plešinger

Anotace

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.

Citovat

PLEŠINGER, Martin a Iveta HNĚTYNKOVÁ. Complex wedge-shaped matrices: A generalization of Jacobi matrices. Linear Algebra and its Applications. Elsevier, 2015, roč. 487, December 2015, s. 203-219. ISSN 0024-3795. Dostupné z: https://dx.doi.org/10.1016/j.laa.2015.09.017.

@article{20422,
   author = {Plešinger, Martin and Hnětynková, Iveta},
   article_number = {December 2015},
   doi = {http://dx.doi.org/10.1016/j.laa.2015.09.017},
   keywords = {eigenvalues; eigenvectors; wedge-shaped matrices; generalized Jacobi matrices; band (or block) Krylov subspace methods},
   language = {eng},
   issn = {0024-3795},
   journal = {Linear Algebra and its Applications},
   title = {Complex wedge-shaped matrices: A generalization of Jacobi matrices},
   url = {http://www.sciencedirect.com/science/article/pii/S0024379515005327},
   volume = {487},
   year = {2015}
}

TY  - JOUR
ID  - 20422
AU  - Plešinger, Martin - Hnětynková, Iveta
PY  - 2015
TI  - Complex wedge-shaped matrices: A generalization of Jacobi matrices
JF  - Linear Algebra and its Applications
VL  - 487
IS  - December 2015
SP  - 203-219
EP  - 203-219
PB  - Elsevier
SN  - 0024-3795
KW  - eigenvalues
KW  - eigenvectors
KW  - wedge-shaped matrices
KW  - generalized Jacobi matrices
KW  - band (or block) Krylov subspace methods
UR  - http://www.sciencedirect.com/science/article/pii/S0024379515005327
L2  - http://www.sciencedirect.com/science/article/pii/S0024379515005327
N2  - 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  -

PLEŠINGER, Martin a Iveta HNĚTYNKOVÁ. Complex wedge-shaped matrices: A generalization of Jacobi matrices. \textit{Linear Algebra and its Applications}. Elsevier, 2015, roč.~487, December 2015, s.~203-219. ISSN~0024-3795. Dostupné z: https://dx.doi.org/10.1016/j.laa.2015.09.017.