Some inequalities for sector matrices
Minghua Lin · Operators and Matrices · 2016
Two new inequalities are proved for sector matrices. The first one complements a recent result in [Oper. Matrices, 8 (2014Matrices, 8 ( ) 1143Matrices, 8 ( -1148]]; the second one is an analogue of the AM-GM inequality, where the geometric mean for two sector matrices was introduced in [Linear Multilinear Algebra 63 (2015) 296-301]. As an application of the second inequality, we present similar inequalities for singular values or norms.