Strict double diagonal dominance in Euclidean Jordan algebras

DOI10.1016/j.laa.2011.11.012zbMath1248.15019OpenAlexW2004739306MaRDI QIDQ2427938

Melania M. Moldovan

Publication date: 19 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.11.012

zbMATH Keywords

Euclidean Jordan algebrasSchur complementsdirected graphs\(H\)-propertyJordan frameBrauer ovalsgeneralized strict diagonal dominancestrict double diagonal dominance

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Finite-dimensional structures of Jordan algebras (17C55) Directed graphs (digraphs), tournaments (05C20)

Cites Work

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• More results on Schur complements in Euclidean Jordan algebras
• Some P-properties for linear transformations on Euclidean Jordan algebras
• Schur complements, Schur determinantal and Haynsworth inertia formulas in Euclidean Jordan algebras
• Geršgorin type theorems for quaternionic matrices
• Strict diagonal dominance and a Geršgorin type theorem in Euclidean Jordan algebras
• Doubly diagonally dominant matrices
• Extension of primal-dual interior point algorithms to symmetric cones
• Matrix representations of octonions and their applications
• The exceptional Jordan eigenvalue problem
• Matrix Analysis
• Matrices eigenvalues, and directed graphs
• The octonionic eigenvalue problem
• Octonionic Hermitian matrices with non-real eigenvalues
• Quaternions and matrices of quaternions

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