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Pregled bibliografske jedinice broj: 513365

Časopis

Autori: Singer, Sanja; Singer, Saša; Novaković, Vedran; Ušćumlić, Aleksandar; Dunjko, Vedran
Naslov: Novel Modifications of Parallel Jacobi Algorithms
Izvornik: Numerical algorithms (1017-1398) 59 (2012), 1; 1-27
Vrsta rada: članak
Ključne riječi: Hermitian matrices; eigenvalues; Jacobi algorithm; parallelization
Sažetak:
We describe two main classes of one-sided trigonometric and hyperbolic Jacobi-type algorithms for computing eigenvalues and eigenvectors of Hermitian matrices. These types of algorithms exhibit significant advantages over many other eigenvalue algorithms. If the matrices permit, both types of algorithms compute the eigenvalues and eigenvectors with high relative accuracy. We present novel parallelization techniques for both trigonometric and hyperbolic classes of algorithms, as well as some new ideas on how pivoting in each cycle of the algorithm can improve the speed of the parallel one-sided algorithms. These parallelization approaches are applicable to both distributed-memory and shared-memory machines. The numerical testing performed indicates that the hyperbolic algorithms may be superior to the trigonometric ones, although, in theory, the latter seem more natural.
Projekt / tema: 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,Računarstvo
URL Internet adrese: http://www.springerlink.com/content/f340p78v5j586735/
http://dx.doi.org/10.1007/s11075-011-9473-6
Broj citata:
Altmetric:
DOI: 10.1007/s11075-011-9473-6
URL cjelovitog teksta:
Google Scholar: Novel Modifications of Parallel Jacobi Algorithms
Upisao u CROSBI: venovako@fsb.hr (venovako@fsb.hr), 16. Svi. 2011. u 13:42 sati



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