On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product

Yongge Tian

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-14

Abstract:

Some mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product are established. Necessary and sufficient conditions for these laws to hold are found by the matrix rank method. Some applications and extensions of these reverse-order laws to the weighted Moore-Penrose inverse are also given.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:756879

DOI: 10.1155/S0161171204301183

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