%0 Journal Article %T Some results on the partial orderings of block matrices %A Liu Xifu %A Yang Hu %J Journal of Inequalities and Applications %D 2011 %I Springer %X 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 %K Matrix partial orderings %K Moore-Penrose inverse %K Block matrix %U http://www.journalofinequalitiesandapplications.com/content/2011/1/54