If there are no resistances in the circuit, the probability densities no longer converge with time.
Under the framework of the sub-linear expectation, (frac {V_{n}}{n}) no longer converges to a constant.
For smaller thicknesses, when D shrinks to 3λ or less, the method fails because in that case the iteration procedure does no longer converge.
As in the previous case, determining a probability of hitting the value α and further distribution of these probabilities does not have meaning because as ε → 0, these values no longer converge to a limit.
If in Theorems 3 and 4, we remove the demicompactness assumption, then (see [37]), the Krasnoselskij iteration does no longer converge strongly, in general, but it could converge (at least) weakly to a fixed point, as shown in the next theorem, which extends Theorem 3.3 in [37].
If this sequence has a subsequence that converges to zero, then we can take limit when k → ∞ in (13) using this subsequence, so that we would have 0 < ψ ( ε 0 ) ≤ ψ ( 0 ) − φ ( 0 ) = 0, which is impossible since ε 0 > 0. Therefore, the sequence (14) has no subsequence converging to zero.
In general, unlike the convex programming, there is no iterative algorithm converging directly to a global solution of a nonconvex program.
These figures demonstrate that in the case of minimum-phase channel there is almost no chance of converging to local minima, while in the case of nonminimum phase channels a 5 10percentt of convergence to local minima has been detected.
There is of course another simple, effective and relatively painless way to put pressure on the Israeli government without going to such extremes: The Obama administration merely needs to make the Israeli government understand that the strategic interests of the two countries no longer necessarily converge.
