generalized Vandermonde matrix

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

(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 $b_{1}<b_{2}<\\cdots<b_{n}$ .

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