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

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  • Yongge Tian

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.

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  • Yongge Tian, 2004. "On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:756879
    DOI: 10.1155/S0161171204301183
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