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The proof of the algorithm is provided in [12], (3).
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The proof of the dynamic algorithm's correctness and effectiveness are elaborated.
The proof of its correctness is the same as the proof of the Prim Dijkstra algorithm [6].
Moreover, the trust region is good for the proof of the presented algorithm to be easily turned out.
The proof of this algorithm's utility will be in the selective deliverance.
We provide the proof of the convergence of our algorithm.
Now let us recall the Kurdyka-Lojasiexicz property, which plays an important role in the proof of the convergence of our algorithm.
We present the algorithm, the proof of the exact C-property, and numerical results for several test problems.
The method of construction of the sequence is similar to that used in the proof of the correctness of the Scarf algorithm; see [3], p.68.
hThe method of construction of the sequence is similar to the one used in the proof of the correctness of the Scarf algorithm - see [[4], p.68].
For the proof of the legitimacy of the Multiple readings algorithm, refer to Shin 2002, §4.2.2 where the equivalence of the Endoporeutic and the Multiple readings is proven.
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