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Pregled bibliografske jedinice broj: 612729

On high relative accuracy of the Kogbetliantz method

Matejaš, Josip; Hari, Vjeran
On high relative accuracy of the Kogbetliantz method // Linear algebra and its applications, 464 (2015), 100-129 doi:10.1016/j.laa.2014.02.024 (međunarodna recenzija, članak, znanstveni)

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Naslov
On high relative accuracy of the Kogbetliantz method

Autori
Matejaš, Josip ; Hari, Vjeran

Izvornik
Linear algebra and its applications (0024-3795) 464 (2015); 100-129

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

Ključne riječi
singular values; relative accuracy; Kogbetliantz method

Sažetak
The relative accuracy of the Kogbetliantz method for computing the singular value decomposition of real triangular matrices is considered. Sharp relative error bounds for the computed singular values are derived. The results are obtained by estimating the norms of scaled perturbation matrices arising from errors generated in one step and one batch of commuting transformations. Perturbation matrices are scaled either from the left or right side by the inverse of the diagonal matrix.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
037-0372783-3042 - Blok dijagonalizacijske metode (Hari, Vjeran, MZOS ) ( CroRIS)

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

Profili:

Avatar Url Vjeran Hari (autor)

Avatar Url Josip Matejaš (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com dx.doi.org

Citiraj ovu publikaciju:

Matejaš, Josip; Hari, Vjeran
On high relative accuracy of the Kogbetliantz method // Linear algebra and its applications, 464 (2015), 100-129 doi:10.1016/j.laa.2014.02.024 (međunarodna recenzija, članak, znanstveni)
Matejaš, J. & Hari, V. (2015) On high relative accuracy of the Kogbetliantz method. Linear algebra and its applications, 464, 100-129 doi:10.1016/j.laa.2014.02.024.
@article{article, author = {Mateja\v{s}, Josip and Hari, Vjeran}, year = {2015}, pages = {100-129}, DOI = {10.1016/j.laa.2014.02.024}, keywords = {singular values, relative accuracy, Kogbetliantz method}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2014.02.024}, volume = {464}, issn = {0024-3795}, title = {On high relative accuracy of the Kogbetliantz method}, keyword = {singular values, relative accuracy, Kogbetliantz method} }
@article{article, author = {Mateja\v{s}, Josip and Hari, Vjeran}, year = {2015}, pages = {100-129}, DOI = {10.1016/j.laa.2014.02.024}, keywords = {singular values, relative accuracy, Kogbetliantz method}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2014.02.024}, volume = {464}, issn = {0024-3795}, title = {On high relative accuracy of the Kogbetliantz method}, keyword = {singular values, relative accuracy, Kogbetliantz method} }

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::


  • MathSciNet

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