Inverse Problems for Means of Matrices

DOI10.1137/0607022zbMath0596.15010OpenAlexW2077330786MaRDI QIDQ3728151

George E. Trapp, William N. jun. Anderson

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1137/0607022

zbMATH Keywords

inverse problemsarithmetic meangeometric meanharmonic meanspositive semidefinite Hermitian matricesmeans of matrices

Mathematics Subject Classification ID

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

Related Items (3)

The Contraharmonic Mean of HSD Matrices ⋮ \(\varGamma \)-commuting triples of positive definite matrices and midpoint equations on unitary matrices ⋮ The inverse mean problem of geometric mean and contraharmonic means

Cites Work

• Unnamed Item
• On the arithmetic-geometric-harmonic-mean inequalities for positive definite matrices
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Functional calculus for sesquilinear forms and the purification map
• Means of positive linear operators
• Series and parallel addition of matrices
• Hermitian semidefinite matrix means and related matrix inequalities—an introduction
• Characterization of parallel subtraction
• Parallel Subtraction of Matrices
• PARALLEL ADDITION AND PARALLEL SUBTRACTION OF OPERATORS
• Inequalities between means of positive operators

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