ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

Hits per page

hit 1 - 1 | 1 hit

Sorting

Electronic Resource

Quasi-interpolants from spline interpolation operators (1990)

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

Springer

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

add to mindlist on the mindlist

Details

ISSN: 1432-0940

Keywords: Toeplitz matrix ; Quasi-interpolation formulae ; Poisson summation formula ; Primary 41A15 ; Secondary 41A05

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

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

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit