A simple proof of Hermite's theorem on the zeros of a polynomial

DOI10.1017/S0017089500005176zbMath0525.30007OpenAlexW2149600470MaRDI QIDQ3039640

N. J. Young

Publication date: 1983

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500005176

zbMATH Keywords

quadratic formBezoutianHermite's theoremmatrix identity

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

Construction of determinantal representation of trigonometric polynomials

Cites Work

• A generalization of the zero location theorem of Schur and Cohn
• A new proof of Hermite's stability criterion and a generalization of Orlando's formula

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