Companion Matrices with Integer Entries and Integer Eigenvalues and Eigenvectors

DOI10.2307/2322394zbMath0667.15011OpenAlexW2325059855MaRDI QIDQ3819181

Richard C. Gilbert

Publication date: 1988

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2322394

zbMATH Keywords

companion matrixJordan canonical formalgebraic multiplicityinteger entriesinteger eigenvaluesinteger eigenvectors

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrices of integers (15B36) Canonical forms, reductions, classification (15A21)

Related Items (4)

A Note on Perturbation Estimates for Invariant Subspaces of Hessenberg Matrices ⋮ On integer matrices with integer eigenvalues and Laplacian integral graphs ⋮ Is every matrix similar to a polynomial in a companion matrix? ⋮ Perturbation bounds for polynomials

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