Hence, in order that the error e~ be small one would like to choose the fl~ such tha t I Pk(h~) [is small in some sense for all i. The best choice, of course, would be to select fit = h~-~ so tha tâ€¦ (More)

where q(x) is any polynomial of degree less than or equM to n. Although the properties which determine p ( x ) uniquely are well known, we state them here for future reference. In what follows u =â€¦ (More)

With the DASA Department of Defense Damage Assessment Center a significant advance has been achieved in the establishment of a large-scale military data handling system which operates under real-timeâ€¦ (More)

A method for finding real and complex roots of polynomial equations, due to D. Muller, is applied to finding'roots of general equations of the form F(z) = O, , where F(z) is analytic in theâ€¦ (More)

where the problem to be solved is Ax = d and r k = d Ax k. The mechanization of this method suffers from three deficiencies: a) It requires, at the outset, the generation of the ~k'S, k = 0, i, Â°.. Nâ€¦ (More)

The history of data processing has shown the development of general purpose packages in support of data processing hardware. Thus, we have seen the evolution of assemblers, compilers, serviceâ€¦ (More)