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