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Digitale Medien

Quasi-interpolants from spline interpolation operators (1990)

Smith, P. W. ; Ward, J. D.

Springer

Constructive approximation 6 (1990), S. 97-110

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Details

ISSN: 1432-0940

Schlagwort(e): Toeplitz matrix ; Quasi-interpolation formulae ; Poisson summation formula ; Primary 41A15 ; Secondary 41A05

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract For bi-infinite Toeplitz matrices, it is easy to see that thekth partial sum of the Neumann series reproduces polynomials of orderk There is no guarantee, however, that the spectral radius is less than 1. A principal result of this paper is to show that for the spline interpolation Toeplitz case the spectral radius is less than 1 whenA is invertible and the main diagonal is the central diagonal. This is not true for all totally positive Toeplitz matrices as shown by an example in Section 2.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01891410

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