[eigen] Circulant matrix and FFT

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Hi
 
I was thinking of adding a circulant matrix type and a way to use that type to solve linear systems by means of FFT.
 
There are two issues I came across
 
1) There is/was some discussions about special matrix types and how they should be implemented.
http://eigen.tuxfamily.org/index.php?title=SpecialMatrix#Toeplitz_matrix
 
Can anybody comment on this? If I do this, should I implement it in a more abstract way to allow for different "shapes"?
 
2) The FFT module is listed as unsupported; this would make any method for solving linear systems based on FFT unsupported as well.
Is this
http://eigen.tuxfamily.org/index.php?title=EigenFFT
and this
http://eigen.tuxfamily.org/index.php?title=Status_of_unsupported_modules
up to date considering the status of the FFT module?
What would be needed to move at least the 1d FFT kissfft implementation to 'supported'?
 
Best,
Philipp


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