A simple and direct proof of a bound on the zeros of a polynomial

DOI10.1080/00207178508933363zbMath0567.93054OpenAlexW1973917087MaRDI QIDQ3684006

J. A. Heinen

Publication date: 1985

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178508933363

zbMATH Keywords

bound on the zeros of a polynomial

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Eigenvalues, singular values, and eigenvectors (15A18) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

• Note on the absolute value of the roots of a polynomial
• A note on the location of the roots of a polynomial
• A simple sufficient condition for the stability of linear discrete time systems
• A simple criterion for stability of linear discrete systems

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