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We know if we have two matrices $A$ and $B$ then:

$(A\otimes B )^{-1} = A^{-1} \otimes B^{-1}$

Now if we have four matrices $A,B,C,D$ . Is there an equivalent term for the following?

$((A\otimes B)+ (C\otimes D))^{-1}$

which can reduce the cost computation and memory usage.

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