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 April 30th, 2015, 06:59 PM #1 Newbie   Joined: Apr 2015 From: japan Posts: 1 Thanks: 0 inverse of semi infinite toeplitz matrix Hi all, I have a semi infintie toeplitz matrix of the form $\displaystyle A=\left(\begin{array}{ccccc} A_{0} & A_{1} & 0 & 0 & \cdots\\ A_{-1} & A_{0} & A_{1} & 0 & \cdots\\ 0 & A_{-1} & A_{0} & A_{1} & \cdots\\ 0 & 0 & A_{-1} & A_{0} & \cdots\\ \vdots & \vdots & \vdots & \vdots & \ddots \end{array}\right)$, where $\displaystyle A_{0}$, $\displaystyle A_{1}$ and $\displaystyle A_{-1}$ are finite n by n matrices. First is it possible to calculate the inverse $\displaystyle A^{-1}$ of $\displaystyle A$ ? And second can one obtaine the upper left n by n block of the inverse ? Best, Marius Tags infinite, inverse, matrix, semi, toeplitz iverse of semi infinite toeplitz matrix

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