If the initial approximation to the zero, for f (x) f (x) given above, is x1, x 1, what formula does Newton's method give for the next approximation? The root of the equation f (x)= 0 f (x) = 0 is x = ...

Raghu N. Kackar, David A. Harville, Approximations for Standard Errors of Estimators of Fixed and Random Effect in Mixed Linear Models, Journal of the American Statistical Association, Vol. 79, No.

Abstract: We consider linear fixed point equations and their approximations by projection on a low dimensional subspace. We derive new bounds on the approximation error of the solution, which are ...

Abstract: Phase angle measurements from phasor measurement units (PMUs) may have errors that can significantly affect line parameter calculation. In this paper, approximate expressions for the ...

Use Newton's Method with the initial approximation x1 =1 x 1 = 1 to find x2 x 2 and x3, x 3, the second and the third approximations to the root a a of the equation x6−x−1 = 0. x 6 x 1 = 0 You may use ...