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Pregled bibliografske jedinice broj: 402157

Block-oriented J-Jacobi Methods for Hermitian Matrices


Hari, Vjeran; Singer, Sanja; Singer, Saša
Block-oriented J-Jacobi Methods for Hermitian Matrices // Linear algebra and its applications, 433 (2010), 8/10; 1491-1512 doi:10.1016/j.laa.2010.06.032 (međunarodna recenzija, članak, znanstveni)


Naslov
Block-oriented J-Jacobi Methods for Hermitian Matrices

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

Izvornik
Linear algebra and its applications (0024-3795) 433 (2010), 8/10; 1491-1512

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

Ključne riječi
J-Jacobi algorithms; block-oriented pivot strategies; convergence; efficiency

Sažetak
The paper describes a way how the one-sided Jacobi-type algorithm of Veselić for computing the hyperbolic singular value decomposition of rectangular matrices can be modified to work with blocks. The proposed modification preserves the relative accuracy property of the original algorithm and essentially improves its performance. Special attention is devoted to proving the global convergence of the method under some important classes of block-oriented pivot strategies. As numerical tests indicate, the block-oriented $J$-Jacobi methods combined with the Hermitian indefinite factorization, become accurate and efficient eigensolvers for Hermitian indefinite matrices.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372783-3042 - Blok dijagonalizacijske metode (Vjeran Hari, )
037-1193086-2771 - Numeričke metode u geofizičkim modelima (Saša Singer, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Fakultet strojarstva i brodogradnje, Zagreb

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
  • Scopus


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