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On this basis, because of non-linear optimization, we take the Newton iterative method to approach the exact solution gradually.
The VIM solutions approach the exact solution as the values of α and β approach 1, as shown in Figure 4.
The original functionally graded shell is approximated by a laminate model, of which the solution will gradually approach the exact one when the number of layers increases.
The original inhomogeneous shell is approximated by a laminate model, for which the solution is expected to gradually approach the exact one as the number of layers increases.
Meanwhile, CSM-based precoding scheme is able to achieve the near-optimal performance by decomposition and iteratively approach the exact matrix inversion of large size in RZF precoding or MMSE precoding.
Whereas the overall population of coincidence site lattice (CSL) boundaries does not increase with extended annealing times, the proportions of Σ3ns which approach the exact Σ3 configuration increases considerably, which is shown to be due mainly to local lattice rotations.
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The approximation approaches the exact solution as k approaches ∞.
We note from this figure that the trajectory of the second approximation approaches the exact solution.
Hagen had been assigning this problem in quantum mechanics class and had found that the approximate value approached the exact one more closely for higher energy states.
From Table 2, we can also see that with the increase of iterative number, (x_{n}) approaches the exact solution (x^) and the errors gradually approach zero.
From Table 1, we can easily see that with iterative number increasing, (x_{n}) approaches the exact solution (x^) and the errors gradually approach zero.
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