We give a formula of(P+Q)Dunder the conditionsP2Q+QPQ=0,P3Q=0, andPQPQ=0. Then, we apply it to give some expressions for the Drazin inverse of block matrixM=(ABCD)(AandDare square matrices) under some conditions, generalizing some recent results in the literature. Finally, numerical examples are given to illustrate our results.
Abstract. This article aims to present some unitarily invariant norms inequalities involving Heron and Heinz means for matrices. We give some refinements for the results presented by R. Kaur and M. Singh in [Math. Ineq. Appl., 16 (2013) 93-99].Mathematics subject classification (2010): 47A30, 15A60.
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