generalized Vandermonde matrix

A generalized Vandermonde matrix is a square matrix with entries in $\mathbb{R}$ of the form:

(a_{i}^{b_{j}})_{i,j=1}^{n}=\begin{pmatrix}a_{1}^{b_{1}}&a_{1}^{b_{2}}&\cdots&% a_{1}^{b_{n}}\cr a_{2}^{b_{1}}&a_{2}^{b_{2}}&\cdots&a_{2}^{b_{n}}\cr\vdots&% \vdots&&\vdots\cr a_{n}^{b_{1}}&a_{n}^{b_{2}}&\cdots&a_{n}^{b_{n}}\end{pmatrix}

with real numbers $0<a_{1}<a_{2}<\cdots<a_{n}$ and $b_{1}<b_{2}<\cdots<b_{n}$ .

Title	generalized Vandermonde matrix
Canonical name	GeneralizedVandermondeMatrix
Date of creation	2013-03-22 17:23:30
Last modified on	2013-03-22 17:23:30
Owner	Mathprof (13753)
Last modified by	Mathprof (13753)
Numerical id	5
Author	Mathprof (13753)
Entry type	Definition
Classification	msc 15A48
Synonym	generalised Vandermonde matrix