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Pregled bibliografske jedinice broj: 402157

Časopis

Autori: Hari, Vjeran; Singer, Sanja; Singer, Saša
Naslov: Block-oriented J-Jacobi Methods for Hermitian Matrices
Izvornik: Linear algebra and its applications (0024-3795) 433 (2010), 8/10; 1491-1512
Vrsta rada: članak
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.
Projekt / tema: 037-0372783-3042, 037-1193086-2771
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://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0R-50P52G3-1&_user=3875467&_coverDate=12%2F15%2F2010&_rdoc=2&_fmt=high&_orig=browse&_origin=browse&_zone=rslt_list_item&_srch=doc-info(%23toc%235653%232010%23995669991%232347765%23FLP%23display%23Volume)&_cdi=5653&_sort=d&_docanchor=&_ct=19&_acct=C000050661&_version=1&_urlVersion=0&_userid=3875467&md5=874f4fd170622afce848499b7b41f613&searchtype=a
http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V0R-50P52G3-1-1&_cdi=5653&_user=3875467&_pii=S0024379510003289&_origin=browse&_coverDate=12%2F15%2F2010&_sk=995669991&view=c&wchp=dGLzVlb-zSkWb&md5=c600361a90e78b169fa07a0b593aa003&ie=/sdarticle.pdf
Broj citata:
Altmetric:
DOI: 10.1016/j.laa.2010.06.032
URL cjelovitog teksta:
Google Scholar: Block-oriented J-Jacobi Methods for Hermitian Matrices
Upisao u CROSBI: hari@math.hr (hari@math.hr), 4. Lip. 2009. u 13:55 sati



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