Question:
Please identify Bairstow of "Bairstow's Algorithm." I would
appreciate a reference so that I can find "Bairstow's Algorithm." Any other
information will be greatly appreciated.

Replies:
I am guessing you refer to a method of finding the coefficients p
and q in the polynomial x^2+px+q whose rootsare also roots of another
polynomial. The man was LeonardBairstow, born in 1880. His field was
aerodynamics, and heworked with the British government in that capacity,
duringWorld War I and thereafter. He wrote a book entitled
"AppliedAerodynamics" (1920) in the appendix of which is a descriptionof the
algorithm that bears his name. Two modern referencesthat take slightly
different approaches to the method: "Numerical Recipes" by Press et al.,
Cambridge Univ. Press (includes a Fortran program of the method) and
"Ecyclopedic Dictionary of Mathematics" by the Mathematical Society of Japan,
MIT Press (gives the algorithm).

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