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An Investigation Of Lehmer's Method For Finding The Roots Of Polynomial Equations Using The Royal-Mcbee Lgp-30, James W. Joiner

Masters Theses

“The solution of the general polynomial equation f (x) = O, where f(x) = a_nxⁿ + a_n-1x^n-1 + … + a₁x = a_o, has received the attention of many mathematicians for hundreds of years and is at present in a very highly developed state. Even a cursory examination of the literature will reveal many volumes on this subject. However, this study is concerned primarily with the numerical methods for solving polynomial equations, hence the classical methods will be treated here only as they contribute to this field.

Virtually all of …