On the class of \(D_{k}\)-symmetrizable matrices

DOI10.1016/S0024-3795(01)00464-5zbMath1032.15020OpenAlexW1990921965MaRDI QIDQ1870048

Frank Uhlig, Sławomir Jenek, Tomasz Szulc

Publication date: 4 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00464-5

zbMATH Keywords

singular value decompositioneigenvaluessignaturesymmetric matrixorthogonal similaritydiagonal matrixsymmetrizable matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Cites Work

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• A trace inequality for M-matrices and the symmetrizability of a real matrix by a positive diagonal matrix
• On a class of matrices with real eigenvalues
• Matrices diagonally similar to a symmetric matrix
• Combinatorially symmetric matrices
• Inertia and eigenvalue relations between symmetrized and symmetrizing matrices for the real and the general field case
• On the nonsingular symmetric factors of a real matrix
• A generalization of the criterion that a quadratic form is positive definite
• The role of symmetric matrices in the study of general matrices
• Matrix Analysis
• On Some Spectral Properties of Matrices with Real Entries

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