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Some identities for elements of a symmetric matrix

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Publication:937888
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DOI10.1007/s10958-005-0336-3zbMath1146.15301OpenAlexW1990367167MaRDI QIDQ937888

N. V. Ilyushechkin

Publication date: 18 August 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0336-3


zbMATH Keywords

discriminant of the characteristic polynomialspace of symmetric matricesvolume of parallelepiped


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30)


Related Items (3)

On relations between summands in the discriminant of a symmetric matrix ⋮ On the geometry of the set of symmetric matrices with repeated eigenvalues ⋮ Sums of squares over totally real fields are rational sums of squares



Cites Work

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  • Discriminant of the characteristic polynomial of a normal matrix
  • SOME PROPERTIES OF THE SPECTRUM OF NONLINEAR EQUATIONS OF STURM-LIOUVILLE TYPE


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