Regular and determinant forms for representing the Cauchy index of a rational function

DOI10.1007/BF02363986zbMath0869.65011OpenAlexW2094650559MaRDI QIDQ1359261

A. T. Barabanov

Publication date: 26 June 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02363986

zbMATH Keywords

Cauchy indexrational functiondeterminantHurwitz matrixgreatest common divisor of polynomialsRouth algorithm

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) Computation of special functions and constants, construction of tables (65D20) Real polynomials: location of zeros (26C10)

Related Items (1)

Analysis of the distribution of roots of a polynomial using a generalized Routh scheme

Cites Work

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