On the location of the zeros of a generalized polynomial

DOI10.1016/0024-3795(78)90059-9zbMath0413.30005OpenAlexW2074285347MaRDI QIDQ1260484

Guido Claessens

Publication date: 1978

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(78)90059-9

zbMATH Keywords

zeros of polynomialsnumber of zerossubresultantsgeneralized polynomialEuclid-Sturm sequence

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) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Polynomials and rational functions of one complex variable (30C10)

Related Items (3)

Polynomials with respect to a general basis. II: Applications ⋮ Congenial matrices ⋮ Asymptotic charged BTZ black hole solutions

Cites Work

• A companion matrix analogue for orthogonal polynomials
• Subresultants and Reduced Polynomial Remainder Sequences
• A Generalization of a Theorem of Bôcher
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