The binet-cauchy theorem and inequalities for the schur power matrix

DOI10.1080/03081089108818084zbMath0742.15008OpenAlexW2062107137MaRDI QIDQ3981250

John W. Bunce

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1080/03081089108818084

zbMATH Keywords

inequalitieseigenvaluepermanentHermitian positive definite matrixSchur power matrixBinet-Cauchy expression

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

Refinements of the Schur inequality for principal characters ⋮ Inequalities for the \(q\)-permanent. II

Cites Work

• Extensions of the Hadamard determinant theorem
• On majorization and Schur products
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Constructing symmetric nonnegative matrices
• Refining schur's inequality using schur complements
• Bessel's inequality in tensor space

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