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Related to a previous question: Suppose I want to invert a (sparse) matrix written in block form as \begin{array}{cccc} A_{11} & A_{12} & \ldots & A_{1n}\\ A_{21} & A_{22} & & \vdots\\ \vdots & & \ddots\\ A_{n1} & A_{n2} & \ldots & A_{nn} \end{array}

where all the $A_{i,j}$'s are diagonal. Is the best way to do this just repeated application of the partitioned matrix inverse formula? Also, do such matrices have a name?

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    Yes, they are called matrices. Isn't every matrix of that form, with the submatrices $1\times1$?2012-04-30
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    Let me add the qualifier of sparseness then.2012-04-30
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    If they don't have a name yet, I'd call them "striped matrices"...2012-04-30

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