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into four blocks, it can be inverted blockwise as follows:

where A and D are square blocks of arbitrary size, and B and C are conformable with them for partitioning. Furthermore, A and the Schur complement of A in P: must be invertible.

Equivalently, by permuting the blocks:

Here, D and the Schur complement of D in P: '''P'''/'''D''' {{= A - BDsup|-1}}C}}

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