Linear algebra and its applications, ISSN 0024-3795, 02/2013, Volume 438, Issue 4, pp. 1711 - 1726

...⩾3 in terms of the following two typical non-commutative geometric means, that is, one is the higher order weighted geometric mean due to Lawson...

Positive linear map | Specht ratio | Chaotic geometric mean | Ando–Li–Mathias geometric mean | Reverse inequality | Mond–Shisha difference | Positive operator | Mond-Shisha difference | Ando-Li-Mathias geometric mean | MATHEMATICS | MATHEMATICS, APPLIED | MAPS

Positive linear map | Specht ratio | Chaotic geometric mean | Ando–Li–Mathias geometric mean | Reverse inequality | Mond–Shisha difference | Positive operator | Mond-Shisha difference | Ando-Li-Mathias geometric mean | MATHEMATICS | MATHEMATICS, APPLIED | MAPS

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 9

This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim...

Lawson–Lim geometric mean | Kantorovich constant | 15A45 | Analysis | Ando–Li–Mathias geometric mean | Mathematics, general | Mathematics | 47A64 | Applications of Mathematics | Karcher mean | 47A63 | MATHEMATICS | MATHEMATICS, APPLIED | Ando-Li-Mathias geometric mean | KANTOROVICH INEQUALITY | Lawson-Lim geometric mean | Operators | Research

Lawson–Lim geometric mean | Kantorovich constant | 15A45 | Analysis | Ando–Li–Mathias geometric mean | Mathematics, general | Mathematics | 47A64 | Applications of Mathematics | Karcher mean | 47A63 | MATHEMATICS | MATHEMATICS, APPLIED | Ando-Li-Mathias geometric mean | KANTOROVICH INEQUALITY | Lawson-Lim geometric mean | Operators | Research

Journal Article

Linear algebra and its applications, ISSN 0024-3795, 2019, Volume 575, pp. 299 - 313

...B is the geometric mean of positive definite matrix A and B. We show that G is positive semidefinite if and only if the family of A1,…,Am is Γ-commuting...

Γ-commuting family | Geometric mean | Block matrix | Positive definite matrix | Ando-Li-Mathias geometric mean | MATHEMATICS | POSITIVE-DEFINITE MATRICES | MATHEMATICS, APPLIED | Gamma-commuting family | Mathematical analysis | Commuting | Matrix methods

Γ-commuting family | Geometric mean | Block matrix | Positive definite matrix | Ando-Li-Mathias geometric mean | MATHEMATICS | POSITIVE-DEFINITE MATRICES | MATHEMATICS, APPLIED | Gamma-commuting family | Mathematical analysis | Commuting | Matrix methods

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 03/2015, Volume 63, Issue 3, pp. 636 - 649

In this paper, from the viewpoint of the Ando-Hiai inequality, we make a comparison among three geometric means...

unitarily invariant norm | Specht ratio | matrix geometric mean | Kantorovich constant | Ando-Li-Mathias geometric mean | Ando-Hiai inequality | Karcher mean | chaotic geometric mean | Ando–Li–Mathias geometric mean | Ando–Hiai inequality | INEQUALITIES | 47A64 | 47A30 | 47A63 | MATHEMATICS | Inequality | Constants | Complement | Algebra | Chaos theory | Inequalities | Images

unitarily invariant norm | Specht ratio | matrix geometric mean | Kantorovich constant | Ando-Li-Mathias geometric mean | Ando-Hiai inequality | Karcher mean | chaotic geometric mean | Ando–Li–Mathias geometric mean | Ando–Hiai inequality | INEQUALITIES | 47A64 | 47A30 | 47A63 | MATHEMATICS | Inequality | Constants | Complement | Algebra | Chaos theory | Inequalities | Images

Journal Article

Linear algebra and its applications, ISSN 0024-3795, 11/2012, Volume 437, Issue 9, pp. 2159 - 2172

In this paper we provide a new class of (metric) geometric means of positive definite matrices varying over Hermitian unitary matrices...

Hermitian unitary matrix | Hadamard space | Geometric mean | Factorization | Spectral geometric mean | Positive definite matrix | MATHEMATICS | MATHEMATICS, APPLIED | SUBMANIFOLDS | ANDO-LI-MATHIAS

Hermitian unitary matrix | Hadamard space | Geometric mean | Factorization | Spectral geometric mean | Positive definite matrix | MATHEMATICS | MATHEMATICS, APPLIED | SUBMANIFOLDS | ANDO-LI-MATHIAS

Journal Article

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