Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices

Novaković, Vedran; Singer, Sanja; Singer, Saša

Pregled bibliografske jedinice broj: 470012

Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices

Novaković, Vedran; Singer, Sanja; Singer, Saša

Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices // Mathematical Communications, 15 (2010), 2; 503-519 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 470012 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices

Autori
Novaković, Vedran ; Singer, Sanja ; Singer, Saša

Izvornik
Mathematical Communications (1331-0623) 15 (2010), 2; 503-519

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

Ključne riječi
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA

Projekti:
037-1193086-2771 - Numeričke metode u geofizičkim modelima (Singer, Saša, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Sanja Singer (autor)