On the discriminant of real symmetric matrices

DOI<1387::AID-CPA6>3.0.CO;2-0 10.1002/(SICI)1097-0312(199811/12)51:11/12<1387::AID-CPA6>3.0.CO;2-0zbMath0933.15013OpenAlexW2078889492MaRDI QIDQ4266422

Peter D. Lax

Publication date: 30 September 1999

Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199811/12)51:11/12<1387::aid-cpa6>3.0.co;2-0

zbMATH Keywords

eigenvaluescharacteristic polynomialdiscriminantsum of squares of polynomialsreal symmetric matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Canonical forms, reductions, classification (15A21)

Related Items (15)

Discriminant of symmetric matrices as a sum of squares and the orthogonal group ⋮ Convergence of the empirical spectral distribution of Gaussian matrix-valued processes ⋮ Ubiquity of conical points in topological insulators ⋮ Real symmetric matrices with partitioned eigenvalues ⋮ The discriminants associated to isotropy representations of symmetric spaces ⋮ Hermitian matrices with a bounded number of eigenvalues ⋮ The entropic discriminant ⋮ Multiple eigenvalues ⋮ Non-avoided crossings for \(n\)-body balanced configurations in \(\mathbb R^3\) near a central configuration ⋮ The Chow form of a reciprocal linear space ⋮ Examples for the quantum Kippenhahn theorem ⋮ The Voronoi diagram of three lines ⋮ Locating Conical Degeneracies in the Spectra of Parametric Self-adjoint Matrices ⋮ The (matrix) discriminant as a determinant ⋮ Partially umbilic singularities of hypersurfaces of \(\mathbb{R}^4\)

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