VANDERMONDE MATRICES ON INTEGER NODES

Authors
EISINBERG A FRANZE G PUGLIESE P
Citation
A. Eisinberg et al., VANDERMONDE MATRICES ON INTEGER NODES, Numerische Mathematik, 80(1), 1998, pp. 75-85
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
80
Issue
1
Year of publication
1998
Pages
75 - 85
Database
ISI
SICI code
0029-599X(1998)80:1<75:VMOIN>2.0.ZU;2-C
Abstract
This paper deals with Vandermonde matrices (V) over tilde whose nodes are the first n integer numbers. We give an analytic factorization of such matrices and explicit formulas for the entries of their inverses, and explore their computational issues. We also give asymptotic estim ates of the Frobenius norm of both (V) over tilde and its inverse.