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 ...

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 ...

In this article, the disjunctive and conjunctive lattice piecewise affine (PWA) approximations of explicit linear model predictive control (MPC) are proposed. Training data consisting of states and ...

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.

We study in detail the log-linear return approximation introduced by Campbell and Shiller (1988a). First, we derive an upper bound for the mean approximation error, given stationarity of the log ...