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Pregled bibliografske jedinice broj: 1060724

The antitriangular factorization of skew-symmetric matrices

Singer, Sanja
The antitriangular factorization of skew-symmetric matrices // Applied mathematics and computation, 381 (2020), 125263, 9 doi:10.1016/j.amc.2020.125263 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 1060724 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
The antitriangular factorization of skew-symmetric matrices

Autori
Singer, Sanja

Izvornik
Applied mathematics and computation (0096-3003) 381 (2020); 125263, 9

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

Ključne riječi
skew-symmetric matrices ; antitriangular form ; multi-arrowhead matrices ; skew-Hermitian matrices

Sažetak
In this paper we develop algorithms for orthogonal similarity transformations of skew-symmetric matrices to simpler forms. The first algorithm is similar to the algorithm for the block antitriangular factorization of symmetric matrices, but in the case of skew-symmetric matrices, an antitriangular form is always obtained. Moreover, a simple two-sided permutation of the antitriangular form transforms the matrix into a multi-arrowhead matrix. In addition, we show that the block antitriangular form of the skew-Hermitian matrices has the same structure as the block antitriangular form of the symmetric matrices.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2014-09-3670 - Matične faktorizacije i blok dijagonalizacijski algoritmi (MFBDA) (Hari, Vjeran, HRZZ - 2014-09) ( CroRIS)

Ustanove:
Fakultet strojarstva i brodogradnje, Zagreb

Profili:

Avatar Url Sanja Singer (autor)

Poveznice na cjeloviti tekst rada:

doi doi.org

Citiraj ovu publikaciju:

Singer, Sanja
The antitriangular factorization of skew-symmetric matrices // Applied mathematics and computation, 381 (2020), 125263, 9 doi:10.1016/j.amc.2020.125263 (međunarodna recenzija, članak, znanstveni)
Singer, S. (2020) The antitriangular factorization of skew-symmetric matrices. Applied mathematics and computation, 381, 125263, 9 doi:10.1016/j.amc.2020.125263.
@article{article, author = {Singer, Sanja}, year = {2020}, pages = {9}, DOI = {10.1016/j.amc.2020.125263}, chapter = {125263}, keywords = {skew-symmetric matrices, antitriangular form, multi-arrowhead matrices, skew-Hermitian matrices}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2020.125263}, volume = {381}, issn = {0096-3003}, title = {The antitriangular factorization of skew-symmetric matrices}, keyword = {skew-symmetric matrices, antitriangular form, multi-arrowhead matrices, skew-Hermitian matrices}, chapternumber = {125263} }
@article{article, author = {Singer, Sanja}, year = {2020}, pages = {9}, DOI = {10.1016/j.amc.2020.125263}, chapter = {125263}, keywords = {skew-symmetric matrices, antitriangular form, multi-arrowhead matrices, skew-Hermitian matrices}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2020.125263}, volume = {381}, issn = {0096-3003}, title = {The antitriangular factorization of skew-symmetric matrices}, keyword = {skew-symmetric matrices, antitriangular form, multi-arrowhead matrices, skew-Hermitian matrices}, chapternumber = {125263} }

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::


  • INSPEC
  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Computing Reviews
  • BIOSIS Citation Index
  • Cambridge Scientific Abstracts
  • Applied Mechanics Reviews

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