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Journal of Inequalities and Applications

, 2011:54

First Online: 13 September 2011Received: 20 February 2011Accepted: 13 September 2011


Some results relating to the block matrix partial orderings and the submatrix partial orderings are given. Special attention is paid to the star ordering of a sum of two matrices and the minus ordering of matrix product. Several equivalent conditions for the minus ordering are established.

Mathematics Subject Classification 2000: 15A45; 15A57

KeywordsMatrix partial orderings Moore-Penrose inverse Block matrix  Download fulltext PDF

Autor: Xifu Liu - Hu Yang


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