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Pregled bibliografske jedinice broj: 461793

Časopis

Autori: Hari, Vjeran; Singer, Sanja; Singer, Saša
Naslov: Full Block J-Jacobi Method for Hermitian Matrices
Izvornik: Linear algebra and its applications (0024-3795) 444 (2014); 1-27
Vrsta rada: članak
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.
Projekt / tema: 037-1193086-2771, 037-0372783-3042
Izvorni jezik: ENG
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL Internet adrese: http://dx.doi.org/10.1016/j.laa.2013.11.028
http://www.sciencedirect.com/science/article/pii/S0024379513007623
Broj citata:
Altmetric:
DOI: 10.1016/j.laa.2013.11.028
URL cjelovitog teksta:
Google Scholar: Full Block J-Jacobi Method for Hermitian Matrices
Upisao u CROSBI: hari@math.hr (hari@math.hr), 6. Tra. 2010. u 11:57 sati



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