Some inequalities for sector matrices
By Minghua Lin. 2016
84 citations recorded by the source corpus.
. Two new inequalities are proved for sector matrices. The fi rst one complements a recent result in [Oper. Matrices, 8 (2014) 1143–1148]; 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.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/81b24ff2c1a68b8fec42d98bb67994b269d38d27
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In Applied Mathematics
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- Relative entropy and Tsallis entropy of two accretive operators (2017, background): “l for some accretive A,B ∈ B(H). For λ = 1/2, this was pointed out in [9] and the same arguments may be used for general λ ∈ (0,1). However, the following remark worth to be mentioned. Remark 3.2. In [8] (see Section 3, Theorem 3), M. Lin presented an extension of the geometric mean-arithmetic mean ”
- On the phases of a complex matrix (2019, background): “In this case, C is said to be a sectorial matrix [7], also called sector matrix in [8].”