caa a22 4500 467986770 CHVBK 20180323112534.0 cr unu---uuuuu 170328e19900301xx s 000 0 eng 10.1007/BF02576148 doi (NATIONALLICENCE)springer-10.1007/BF02576148 Inglese G. C.N.R. I.A.G.A., Via S. Marta 13/a, 50139, Firenze aut A relation between the Hilbert and Vandermonde matrices [Elektronische Daten] [G. Inglese] A relation is established between two famous matrices and two simple applications are proposed. We first study the asymptotic behaviour of the spectral condition number of a Vandermonde matrix with a particular configuration of points. We then apply our relation to the problem of the computation of the Christoffel number starting from the moments of the weight function; we show that the relative asymptotic condition number of the problem is essentially the Turing condition number of the Hilbert matrix as observed numerically by other authors in the past. Instituto di Elaborazione della Informazione del CNR, 1990 CALCOLO Springer-Verlag 27/1-2(1990-03-01), 73-79 0008-0624 27:1-2<73 1990 27 10092 https://doi.org/10.1007/BF02576148 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02576148 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Inglese G. C.N.R. I.A.G.A., Via S. Marta 13/a, 50139, Firenze aut NATIONALLICENCE 773 0- CALCOLO Springer-Verlag 27/1-2(1990-03-01), 73-79 0008-0624 27:1-2<73 1990 27 10092 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer