QUASI-INTERPOLANTS FROM SPLINE INTERPOLATION OPERATORS Academic Article uri icon

abstract

  • For bi-infinite Toeplitz matrices, it is easy to see that the kth partial sum of the Neumann series reproduces polynomials of order k 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 when A 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. 1990 Springer-Verlag New York Inc.

published proceedings

  • CONSTRUCTIVE APPROXIMATION

author list (cited authors)

  • SMITH, P. W., & WARD, J. D.

citation count

  • 8

complete list of authors

  • SMITH, PW||WARD, JD

publication date

  • March 1990