ON INITIAL ESTIMATES FOR COMPUTING A(1/P) BY NEWTON'S METHOD,
RAND CORP SANTA MONICA CALIF
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In order to evaluate a1p for a in the interval 0,1 by Newtons method, the standard practice for digital computer programs is to use the uniform initial estimate of 1. By using a piecewise linear approximation the computational effort can in the general case be considerably reduced. The convergence of Newtons method to a1p is analyzed when the firstguess is determined by the above approximation.