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<math>(\mathbf B^T \mathbf B)^{-1}</math> in parallel. Then, we finish to compute <math>(\mathbf A^T \mathbf P_B^{\perp} \mathbf A)^{-1}</math> and <math>(\mathbf B^T \mathbf P_A^{\perp} \mathbf B)^{-1}</math> also in parallel.
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Let a block matrix be
:<math>\begin{bmatrix}
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