The inverse mean problem of geometric mean and contraharmonic means

DOI10.1016/j.laa.2005.06.013zbMath1096.15005OpenAlexW1981848445MaRDI QIDQ2568371

Yongdo Lim

Publication date: 10 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.06.013

zbMATH Keywords

geometric meannonlinear matrix equationpositive definite matrixcontraharmonic meaninverse mean problem

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Inverse problems in linear algebra (15A29) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (9)

On the nonlinear matrix equation X^p = A#_t(M^T (X^–1 + B)^–1 M) ⋮ Bounds for the combinations of Neuman-Sándor, arithmetic, and second Seiffert means in terms of contraharmonic mean ⋮ The inverse problem for generalized contraharmonic means ⋮ Sharp bounds for Seiffert mean in terms of contraharmonic mean ⋮ On the nonlinear matrix equation \(X^p = A + M^T (X \# B) M\) ⋮ On Ando-Li-Mathias geometric mean equations ⋮ \(\varGamma \)-commuting triples of positive definite matrices and midpoint equations on unitary matrices ⋮ Solvability for two forms of nonlinear matrix equations ⋮ Some matrix equations involving the weighted geometric mean

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