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Hurwitz forms of the solution of the general Routh problem. III. (English. Russian original) Zbl 0839.93035

J. Comput. Syst. Sci. Int. 33, No. 4, 1-15 (1995); translation from Izv. Ross. Akad. Nauk, Tekh. Kibern. 1994, No. 1, 3-19 (1994).
The problems considered are: The Cauchy index and the relative properties of a pair of polynomials, the numerical characteristics of the right, left, complex, purely imaginary, and skew-symmetric roots, including the multiplicities.

MSC:

93B40 Computational methods in systems theory (MSC2010)
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
34A30 Linear ordinary differential equations and systems