On eigenvalue gaps of integer matrices

DOI10.1090/MCOM/3905MaRDI QIDQ6657193

Nikhil Srivastava, Aaron Abrams, Jamie Pommersheim, Zeph A. Landau

Publication date: 6 January 2025

Published in: Mathematics of Computation (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Cites Work

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• Integral polynomials with small discriminants and resultants
• Discriminant and root separation of integral polynomials
• Upper Hessenberg and Toeplitz Bohemians
• Minimal height companion matrices for Euclid polynomials
• An inequality for the discriminant of a polynomial
• Root separation for irreducible integer polynomials
• Matrices of rational integers
• The Minimum Root Separation of a Polynomial
• ON THE DISTANCE BETWEEN ROOTS OF INTEGER POLYNOMIALS
• The distribution of close conjugate algebraic numbers
• Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation
• Bit complexity of Jordan normal form and polynomial spectral factorization

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