## A Critical Study of Determination of the Values of the Poles and Zeros of Servomechanism Transfer-functions |

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accelerate convergence Accordingly Aitken's extension Approx approximation ascending powers Bairstow's Method Bernoulli's method bl b2 b3 calculation complex conjugate computation conjugate complex roots determining the zeros difference equation different in moduli divergent procedure dividing f(x dQ(x dx(x equating coefficients extension of Bernoulli f(t+l factor of f(x find a quadratic fluctuates in sign Friedman's modification given equation higher-degree equations Illustratively iterative method kind of root largest roots Luke and Ufford's Modification of Lin's multiple roots Numerical Example Consider original equation penultimate remainder poles and zeros polynomial polynomial of degree procedure converges procedure yields quadratic factor real coefficients real roots Repeating the procedure second division second trial divisor sequence f(t sign and magnitude sixth-degree equation solution of 2.1-7 specified servomechanism transfer-function SQ(x tabulated in Table thesis three quadratic transcendental function University of Wisconsin values of Table x2+px+q yields the values zeros and poles