QUASI-INTERPOLANTS FROM SPLINE INTERPOLATION OPERATORS Academic Article

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.

authors

• Ward, Joseph

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

publisher

• Springer Nature  Publisher

published in

• Constructive Approximation  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1007/BF01891410

start page

• 97

end page

• 110

volume

• 6

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fbf01891410