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Pregled bibliografske jedinice broj: 613935

On the permissible arrangements of Ritz values for normal matrices in the complex plane

Bujanović, Zvonimir
On the permissible arrangements of Ritz values for normal matrices in the complex plane // Linear algebra and its applications, 438 (2013), 12; 4606-4624 doi:10.1016/j.laa.2013.02.014 (međunarodna recenzija, članak, znanstveni)

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Naslov
On the permissible arrangements of Ritz values for normal matrices in the complex plane

Autori
Bujanović, Zvonimir

Izvornik
Linear algebra and its applications (0024-3795) 438 (2013), 12; 4606-4624

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
eigenvalues ; Ritz values ; harmonic Ritz values ; Krylov subspaces ; Arnoldi algorithm

Sažetak
This article discusses Ritz and harmonic Ritz values computed from a Krylov subspace, generated by a normal matrix. We give necessary and sufficient conditions for a given tuple of complex numbers to represent Ritz values: the existence of a positive solution to a certain linear system with Cauchy matrix. Using this characterization, we prove several localization results for the Ritz values of normal matrices and discuss consequences for the convergence of the restarted Arnoldi algorithm. Similar results are shown for the harmonic case as well.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
MZOS-037-0372783-2750 - Spektralne dekompozicije - numericke metode i primjene (Drmač, Zlatko, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Zvonimir Bujanović (autor)

Poveznice na cjeloviti tekst rada:

doi dx.doi.org www.sciencedirect.com

Citiraj ovu publikaciju:

Bujanović, Zvonimir
On the permissible arrangements of Ritz values for normal matrices in the complex plane // Linear algebra and its applications, 438 (2013), 12; 4606-4624 doi:10.1016/j.laa.2013.02.014 (međunarodna recenzija, članak, znanstveni)
Bujanović, Z. (2013) On the permissible arrangements of Ritz values for normal matrices in the complex plane. Linear algebra and its applications, 438 (12), 4606-4624 doi:10.1016/j.laa.2013.02.014.
@article{article, author = {Bujanovi\'{c}, Zvonimir}, year = {2013}, pages = {4606-4624}, DOI = {10.1016/j.laa.2013.02.014}, keywords = {eigenvalues, Ritz values, harmonic Ritz values, Krylov subspaces, Arnoldi algorithm}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2013.02.014}, volume = {438}, number = {12}, issn = {0024-3795}, title = {On the permissible arrangements of Ritz values for normal matrices in the complex plane}, keyword = {eigenvalues, Ritz values, harmonic Ritz values, Krylov subspaces, Arnoldi algorithm} }
@article{article, author = {Bujanovi\'{c}, Zvonimir}, year = {2013}, pages = {4606-4624}, DOI = {10.1016/j.laa.2013.02.014}, keywords = {eigenvalues, Ritz values, harmonic Ritz values, Krylov subspaces, Arnoldi algorithm}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2013.02.014}, volume = {438}, number = {12}, issn = {0024-3795}, title = {On the permissible arrangements of Ritz values for normal matrices in the complex plane}, keyword = {eigenvalues, Ritz values, harmonic Ritz values, Krylov subspaces, Arnoldi algorithm} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • ABI/INFORM
  • INSPEC
  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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