On perturbation bounds of eigenvalues in Euclidean Jordan Algebras

DOI10.1080/03081087.2014.939174zbMath1315.15019OpenAlexW2035331877MaRDI QIDQ4981967

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Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.939174

zbMATH Keywords

eigenvalueHermitian matricesquaternionsoctonionsEuclidean Jordan algebraCauchy interlacing theorem

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Inequalities involving eigenvalues and eigenvectors (15A42) Simple, semisimple Jordan algebras (17C20) Finite-dimensional structures of Jordan algebras (17C55)

Cites Work

• A note on the Ostrowski-Schneider type inertia theorem in Euclidean Jordan algebras
• Schur complements, Schur determinantal and Haynsworth inertia formulas in Euclidean Jordan algebras
• Some inertia theorems in Euclidean Jordan algebras
• Strict diagonal dominance and a Geršgorin type theorem in Euclidean Jordan algebras
• A note on eigenvalues of perturbed Hermitian matrices
• Matrix representations of octonions and their applications
• Variation of the eigenvalues of a special class of Hermitian matrices upon variation of some of its elements
• The Cauchy interlacing theorem in simple Euclidean Jordan algebras and some consequences
• Quadratic Residual Bounds for the Hermitian Eigenvalue Problem
• Automorphism Invariance of P- and GUS-Properties of Linear Transformations on Euclidean Jordan Algebras
• The octonionic eigenvalue problem
• Quaternions and matrices of quaternions

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