Inversion Of A Generalized Vandermonde Matrix

In this paper the author gives an explicit closed form expression for the $n\times n$ inverse matrix $(V_{G}^{(k)})^{-1}(n)$ of the $n\times n$ Vandermonde matrix $V_{G}^{(k)}(n)$ by using the elementary symmetric functions. Symbolic and numerical results are presented.

Keywords:

• Algorithms
• Vandermonde Matrix
• Stirling Matrix
• Symmetric Functions
• Maple