On the weighted Geometric mean of accretive matrices
Abstract
In this paper, we discuss new inequalities for accretive matrices through non standard domains. In particular, we present several relations for Ar and ArB, when A,B are accretive and r∈ (-1,0) (1,2). This complements the well established discussion of such quantities for accretive matrices when r∈ [0,1], and provides accretive versions of known results for positive matrices.
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