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W2318704448 abstract "We give an explicit formula for the Moore-Penrose inverse of an m × n partitioned matrix M=(ADBC), and then derive some representations, which are simpler in form when conditions are placed on the blocks of the partitioning of the matrix." @default.
W2318704448 created "2016-06-24" @default.
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W2318704448 date "1975-01-01" @default.
W2318704448 modified "2023-09-23" @default.
W2318704448 title "The Moore-Penrose inverse of a partitioned matrix <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline altimg=si1.gif overflow=scroll><mml:mrow><mml:mi>M</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtable><mml:mtr><mml:mtd><mml:mi>A</mml:mi></mml:mtd><mml:mtd><mml:mi>D</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi>B</mml:mi></mml:mtd><mml:mtd><mml:mi>C</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml…" @default.
W2318704448 cites W1980497693 @default.
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W2318704448 doi "https://doi.org/10.1016/0024-3795(75)90118-4" @default.
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