I can't comment on the details here but explicitly inverting a matrix is almost 
always wrong.  

Sent from my iPhone

> On Aug 3, 2014, at 8:53, Arne Schwarz <[email protected]> wrote:
> 
> Hi,
> 
> I saw that to calculate the gain matrix the accual inverse of the residual
> covariance matrix is calculated. Wouldn't it be faster to use for example a
> Cholesky decomposition to solve the linear system? Since a covariance
> Matrix is always symmetric and at least positive semi-definite.
> 
> Arne Schwarz

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