The Contraharmonic Mean of HSD Matrices

DOI10.1137/0608056zbMath0641.15009OpenAlexW1979227613MaRDI QIDQ3781862

T. D. Morley, William N. jun. Anderson, George E. Trapp, Michael E. Mays

Publication date: 1987

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0608056

zbMATH Keywords

contraharmonic meanfixed point problemsleast square problemspositive semidefinite Hermitian matricesmonotonicity behaviourinverse mean problemsparallel addition of matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Commutativity of matrices (15A27) Miscellaneous inequalities involving matrices (15A45)

Related Items (4)

The inverse problem for generalized contraharmonic means ⋮ Sharp bounds for Seiffert mean in terms of contraharmonic mean ⋮ \(\varGamma \)-commuting triples of positive definite matrices and midpoint equations on unitary matrices ⋮ The inverse mean problem of geometric mean and contraharmonic means

Cites Work

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• Functional calculus for sesquilinear forms and the purification map
• Über monotone Matrixfunktionen
• Series and parallel addition of matrices
• On the compounding of certain means
• Di una formula comprensiva delle medie
• Hermitian semidefinite matrix means and related matrix inequalities—an introduction
• Inverse Problems for Means of Matrices
• Functions Which Parametrize Means
• Characterization of parallel subtraction
• PARALLEL ADDITION AND PARALLEL SUBTRACTION OF OPERATORS
• Consistent Estimates of the Parameters of a Linear System
• A Class of Mean Value Functions

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