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Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices (CROSBI ID 163854)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

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

Podaci o odgovornosti

Novaković, Vedran ; Singer, Sanja ; Singer, Saša

engleski

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

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.

cardinal splines; collocation matrices; condition; Töplitz matrices; circulants

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Podaci o izdanju

15 (2)

2010.

503-519

objavljeno

1331-0623

Povezanost rada

Matematika

Indeksiranost