Characteristic polynomials of symmetric matrices

DOI10.1080/03081089408818296zbMath0812.15005OpenAlexW2025194589MaRDI QIDQ4304808

Robert W. Fitzgerald

Publication date: 31 August 1994

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

Full work available at URL: https://doi.org/10.1080/03081089408818296

zbMATH Keywords

characteristic polynomialsymmetric matrixsum of squares

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Norms of sums of squares ⋮ Minimal dimension of symmetric or skew-symmetric matrices of given minimal polynomial ⋮ Characteristic polynomials of symmetric matrices over the univariate polynomial ring

Cites Work

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• Eigenwerte und Minimalpolynome symmetrischer Matrizen in kommutativen Körpern
• On the scaled trace forms and the transfer of a number field extension
• Algebraic systems of quadratic forms of number fields and function fields
• Characteristic polynomials of symmetric matrices
• Ideal matrices. I
• Symmetric matrices, characteristic polynomials, and Hilbert symbols over local number fields

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