Answer by user1551 for Block matrix inversion
The top left block can be obtained as a Schur complement. The other blocks can be obtained by considering $J(XJ)^{-1}$ (bottom left), $(JX)^{-1}J$ (top right) and $J(JXJ)^{-1}J$ (bottom right), where...
View ArticleBlock matrix inversion
$$X=\left(\matrix{A & B\\C & D}\right)$$where $A,B,C,D$ are all $n \times n$ matrices. Assuming that all stated inverses exist, show...
View ArticleAnswer by user1551 for Inversion of $2 \times 2$ block matrix
The top left block can be obtained as a Schur complement. The other blocks can be obtained by considering $J(XJ)^{-1}$ (bottom left), $(JX)^{-1}J$ (top right) and $J(JXJ)^{-1}J$ (bottom right), where...
View ArticleInversion of $2 \times 2$ block matrix
$$X=\left(\matrix{A & B\\C & D}\right)$$where $A,B,C,D$ are all $n \times n$ matrices. Assuming that all stated inverses exist, show...
View Article
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