On Ando-Li-Mathias geometric mean equations

DOI10.1016/j.laa.2007.10.027zbMath1153.15021OpenAlexW1980984606MaRDI QIDQ2479492

Yongdo Lim

Publication date: 26 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.10.027

zbMATH Keywords

contractionfixed pointgeometric meannonlinear matrix equationpositive definite matrixThompson metric

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (7)

On the nonlinear matrix equation X^p = A#_t(M^T (X^–1 + B)^–1 M) ⋮ Generalized Pólya-Szegő type inequalities for some non-commutative geometric means ⋮ The Ando-Li-Mathias geometric mean and infinite product of hollow matrices ⋮ Matrix power means and the Karcher mean ⋮ Convex geometric means ⋮ An effective matrix geometric mean satisfying the Ando–Li–Mathias properties ⋮ A fixed point mean approximation to the Cartan barycenter of positive definite matrices

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