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Pregled bibliografske jedinice broj: 470012

Časopis

Autori: Novaković, Vedran; Singer, Sanja; Singer, Saša
Naslov: Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices
( Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices )
Izvornik: Mathematical Communications (1331-0623) 15 (2010), 2; 503-519
Vrsta rada: članak
Ključne riječi: cardinal splines; collocation matrices; condition; Töplitz matrices; circulants
( cardinal splines; collocation matrices; condition; Töplitz matrices; circulants )
Sažetak:
The famous de Boor conjecture states that the condition of the polynomial B-spline collocation matrix at the knot averages is bounded independently of the knot sequence, i.e., depends only on the spline degree. For highly nonuniform knot meshes, like geometric meshes, the conjecture is known to be false. As an effort towards finding an answer for uniform meshes, we investigate the spectral condition number of cardinal B-spline collocation matrices. Numerical testing strongly suggests that the conjecture is true for cardinal B-splines.
Projekt / tema: 037-1193086-2771
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
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 cjelovitog teksta:
Časopis izlazi u samo elektroničkom izdanju: NE
Google Scholar: Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices
Upisao u CROSBI: venovako@fsb.hr (venovako@fsb.hr), 1. Svi. 2010. u 18:54 sati



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