Eigenvalues of symmetric integer matrices

DOI10.1016/0022-314X(92)90094-6zbMath0759.15007MaRDI QIDQ1201732

Dennis R. Estes

Publication date: 17 January 1993

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

eigenvaluestotally real algebraic integerssymmetric integer matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (14)

Eigenvalues of symmetric matrices over integral domains ⋮ Forbidden subgraphs for graphs of bounded spectral radius, with applications to equiangular lines ⋮ Quantum mechanics of bipartite ribbon graphs: integrality, lattices and Kronecker coefficients ⋮ Ranks of matrices with few distinct entries ⋮ Salem number stretch factors and totally real fields arising from Thurston's construction ⋮ On unimodular tournaments ⋮ Symmetric integer matrices having integer eigenvalues ⋮ Every totally real algebraic integer is a tree eigenvalue ⋮ Minimal dimension of symmetric or skew-symmetric matrices of given minimal polynomial ⋮ On equiangular lines in $17$ dimensions and the characteristic polynomial of a Seidel matrix ⋮ A classification of all 1-Salem graphs ⋮ Small-span Hermitian matrices over quadratic integer rings ⋮ Dimensions des matrices antisymétriques de polynôme minimal donné ⋮ Minimal polynomials of integral symmetric matrices

Cites Work

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• Eigenvalues of finite graphs
• On matrix classes corresponding to an ideal and its inverse
• Eigenwerte und Minimalpolynome symmetrischer Matrizen in kommutativen Körpern
• The dimensions of symmetric matrices with a given minimum polynomial

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