Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices

DOI10.1016/j.laa.2003.12.038zbMath1063.15008OpenAlexW2170477486MaRDI QIDQ1827479

Kaiming Zhao, Dragomir Ž. Djoković

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.12.038

zbMATH Keywords

orthogonal groupnormal formstridiagonal matricessymmetric matricessymmetrized Jordan blocks

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Classical groups (11E57) Canonical forms, reductions, classification (15A21)

Related Items (7)

Normal forms for orthogonal similarity classes of skew-symmetric matrices ⋮ Isotropy groups of the action of orthogonal similarity on symmetric matrices ⋮ ON SEMITRANSITIVE JORDAN ALGEBRAS OF MATRICES ⋮ Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms ⋮ NEAR-DIAGONAL REPRESENTATIVES OF CONJUGACY CLASSES OF ORTHOGONAL MATRICES ⋮ On the images of Jordan polynomials evaluated over symmetric matrices ⋮ Orthogonal invariants of a matrix of order four and applications

Cites Work

• Diagonal Plus Tridiagonal Representatives for Symplectic Congruence Classes of Symmetric Matrices
• Matrix Analysis
• Introduction to Lie Algebras and Representation Theory
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