Some inequalities involving determinants, eigenvalues, and Schur complements in Euclidean Jordan algebras

DOI10.1007/s11117-010-0086-4zbMath1236.15047OpenAlexW1975086844MaRDI QIDQ655979

Jiyuan Tao, M. Seetharama Gowda

Publication date: 26 January 2012

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0086-4

zbMATH Keywords

Euclidean Jordan algebraseigenvaluesSchur complementdeterminantsCauchy interlacing theoremSchur interlacing inequalities

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45) Simple, semisimple Jordan algebras (17C20) Finite-dimensional structures of Jordan algebras (17C55)

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