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Estimation of polynomial roots by continued fractions. (English) Zbl 0596.65030
Author’s summary: The article describes a method of polynomial root solving with Viskovatoff’s decomposition (analytic continued fraction theory) and with characteristic root locus construction.
Reviewer: M.Reimer
MSC:
65H05 Numerical computation of solutions to single equations
30B70 Continued fractions; complex-analytic aspects
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
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References:
[1] H. S. Wall: Analytic Theory of Continued Fraction. Van Nostrand, Princeton, N. J. 1948. · Zbl 0035.03601
[2] C. F. Chen, L. S. Shieh: An algebraic method for control system design. Internat. J. Control J (1970), 11,717-739. · Zbl 0192.50602 · doi:10.1080/00207177008905955
[3] E. T. Uberman: Metod korněvogo godografa v teorii avtomatičeskogo upravlenija. GEI, Moskva 1963.
[4] W. R. Evans: Control System Dynamics. McGraw-Hill, New York 1954.
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