On the arithmetic-geometric-harmonic-mean inequalities for positive definite matrices

DOI10.1016/0024-3795(83)80005-6zbMath0516.15011OpenAlexW2055418181MaRDI QIDQ1052428

J. Blot

Publication date: 1983

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(83)80005-6

zbMATH Keywords

positive definite matricesarithmetic-geometric-harmonic-mean inequalities

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (12)

Solving symmetric matrix word equations via symmetric space machinery ⋮ Inverse Problems for Means of Matrices ⋮ On the nonlinear matrix equation X^p = A#_t(M^T (X^–1 + B)^–1 M) ⋮ Unnamed Item ⋮ On the nonlinear matrix equation \(X^p = A + M^T (X \# B) M\) ⋮ Mixed mean inequalities for several positive definite matrices ⋮ Solvability for two forms of nonlinear matrix equations ⋮ Symmetric word equations in two positive definite letters ⋮ Thompson isometries of the space of invertible positive operators ⋮ Operator means in JB-algebras ⋮ The inverse mean problem of geometric mean and contraharmonic means ⋮ Inequalities for arithmetic–geometric–harmonic means of sector matrices

Cites Work

• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Functional calculus for sesquilinear forms and the purification map
• The transition probability in the state space of a \(^*\)-algebra
• Inequalities: theory of majorization and its applications
• Unnamed Item

This page was built for publication: On the arithmetic-geometric-harmonic-mean inequalities for positive definite matrices