Given an invertible matrix $A$. I like to compute the matrix inverse, with diagonal matrix $D$, i.e.,
$$ f(D) = (D - A)^{-1}. $$
Is there a way to precompute something to accelerate the evaluation of function $f$ for any diagonal matrix $D$.
Given an invertible matrix $A$. I like to compute the matrix inverse, with diagonal matrix $D$, i.e.,
$$ f(D) = (D - A)^{-1}. $$
Is there a way to precompute something to accelerate the evaluation of function $f$ for any diagonal matrix $D$.
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