Minimal polynomials of integral symmetric matrices
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Publication:1311314
DOI10.1016/0024-3795(93)90237-IzbMath0791.15012OpenAlexW2074747848MaRDI QIDQ1311314
Dennis R. Estes, Robert M. Guralnick
Publication date: 13 July 1994
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(93)90237-i
Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices of integers (15B36) Canonical forms, reductions, classification (15A21)
Related Items (8)
Cyclotomic matrices over the Eisenstein and Gaussian integers ⋮ Ranks of matrices with few distinct entries ⋮ Salem numbers of trace -2, and a conjecture of Estes and Guralnick ⋮ Self-adjoint operators on inner product spaces over fields of power series ⋮ A trace bound for positive definite connected integer symmetric matrices ⋮ Minimal dimension of symmetric or skew-symmetric matrices of given minimal polynomial ⋮ Cyclotomic matrices and graphs over the ring of integers of some imaginary quadratic fields ⋮ Small-span Hermitian matrices over quadratic integer rings
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- Characteristic polynomials of symmetric matrices
- The dimensions of symmetric matrices with a given minimum polynomial
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- The Discriminant Matrices of An Algebraic Number Field
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