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Pregled bibliografske jedinice broj: 461793

Full Block J-Jacobi Method for Hermitian Matrices


Hari, Vjeran; Singer, Sanja; Singer, Saša
Full Block J-Jacobi Method for Hermitian Matrices // Linear algebra and its applications, 444 (2014), 1-27 doi:10.1016/j.laa.2013.11.028 (međunarodna recenzija, članak, znanstveni)


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Naslov
Full Block J-Jacobi Method for Hermitian Matrices

Autori
Hari, Vjeran ; Singer, Sanja ; Singer, Saša

Izvornik
Linear algebra and its applications (0024-3795) 444 (2014); 1-27

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

Ključne riječi
block $J$--Jacobi method; convergence; accuracy

Sažetak
The paper considers convergence, accuracy and efficiency of a block $J$-Jacobi method. The method is a proper BLAS~3 generalization of the known method of Veselić for computing the hyperbolic singular value decomposition of rectangular matrices. At each step, the proposed algorithm diagonalizes the block-pivot submatrix. The convergence is proved for cyclic strategies which are weakly equivalent to the row-cyclic strategy. The relative accuracy is proved under the standard conditions. Numerical tests show improved performance with respect to the block-oriented generalization of the original method of Veselić. Combined with the Hermitian indefinite factorization, the proposed method becomes accurate and efficient eigensolver for Hermitian indefinite matrices.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
037-0372783-3042 - Blok dijagonalizacijske metode (Hari, Vjeran, MZOS ) ( POIROT)
037-1193086-2771 - Numeričke metode u geofizičkim modelima (Singer, Saša, MZOS ) ( POIROT)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Vjeran Hari (autor)

Avatar Url Sanja Singer (autor)

Avatar Url Saša Singer (autor)

Poveznice na cjeloviti tekst rada:

doi dx.doi.org www.sciencedirect.com

Citiraj ovu publikaciju:

Hari, Vjeran; Singer, Sanja; Singer, Saša
Full Block J-Jacobi Method for Hermitian Matrices // Linear algebra and its applications, 444 (2014), 1-27 doi:10.1016/j.laa.2013.11.028 (međunarodna recenzija, članak, znanstveni)
Hari, V., Singer, S. & Singer, S. (2014) Full Block J-Jacobi Method for Hermitian Matrices. Linear algebra and its applications, 444, 1-27 doi:10.1016/j.laa.2013.11.028.
@article{article, year = {2014}, pages = {1-27}, DOI = {10.1016/j.laa.2013.11.028}, keywords = {block $J$--Jacobi method, convergence, accuracy}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2013.11.028}, volume = {444}, issn = {0024-3795}, title = {Full Block J-Jacobi Method for Hermitian Matrices}, keyword = {block $J$--Jacobi method, convergence, accuracy} }
@article{article, year = {2014}, pages = {1-27}, DOI = {10.1016/j.laa.2013.11.028}, keywords = {block $J$--Jacobi method, convergence, accuracy}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2013.11.028}, volume = {444}, issn = {0024-3795}, title = {Full Block J-Jacobi Method for Hermitian Matrices}, keyword = {block $J$--Jacobi method, convergence, accuracy} }

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
  • Cambridge Scientific Abstracts
  • Engineering Information Abstracts
  • ILAS-net
  • NA-net
  • Science Citation Index
  • Scopus


Citati:





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