An iterative method that converges for an arbitrary initial approximation is called globally convergent.
A numerical value called the badness is computed based on S and it measures how undesirable the initial approximation is.
Second, the corrector step refines the initial approximation using another means.
Because of the fast convergence, an initial approximation of 1 suffices.
Satisfied with my initial approximations, I started the Redshift moving toward Xanahalla.
The Chebyshev nodes are a common choice for the initial approximation because of their role in the theory of polynomial interpolation.
An iterative method is called convergent if the corresponding sequence converges for given initial approximations.
We just have the computer try out every possible variation on the initial approximation until we get the answer.
In fact, we've managed to derive a much tighter initial approximation than anyone anticipated.
To use such a numerical method, an initial approximation of the position of receiver 2 is required.