The (matrix) discriminant as a determinant

DOI10.1016/S0024-3795(02)00335-XzbMath1018.15006MaRDI QIDQ1855368

Beresford N. Parlett

Publication date: 5 February 2003

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

zbMATH Keywords

inner product spacesimilarity transformationsmatrix determinantmatrix discriminant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)

Related Items (10)

Discriminant of symmetric matrices as a sum of squares and the orthogonal group ⋮ 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 ⋮ On Wick polynomials of boson fields in locally covariant algebraic QFT ⋮ Multiple eigenvalues ⋮ On the geometry of the set of symmetric matrices with repeated eigenvalues ⋮ Convex Algebraic Geometry of Curvature Operators ⋮ Locating Conical Degeneracies in the Spectra of Parametric Self-adjoint Matrices

Cites Work

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• Discriminant of the characteristic polynomial of a normal matrix
• On the discriminant of real symmetric matrices

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