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Solving Ax=b, where A is an unknown Toeplitz matrix, x and b are known.

I am trying to solve an equation of the form $Ax=b$, where $A$ is an unknown Toeplitz matrix, while $x$ and $b$ are known.

If one knows corresponding Matlab procedure, it'll be great.

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You have more unknowns ($2n-1$) than equations ($n$)
 Perhaps MrZ is assuming $A$ is symmetric? – Victor Liu Apr 7 2012 at 8:07