# 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 and $b_{1}.

Title generalized Vandermonde matrix GeneralizedVandermondeMatrix 2013-03-22 17:23:30 2013-03-22 17:23:30 Mathprof (13753) Mathprof (13753) 5 Mathprof (13753) Definition msc 15A48 generalised Vandermonde matrix