Abstract
The purpose of this paper is to solve the problem that small reservoirs in hilly areas are located according to the terrain characteristics. According to the terrain height difference characteristics in hilly areas, Newton method is proposed to solve this problem, Newton method has basic Newton method and damping Newton method, both of which search in the given search direction, find the extreme value of the function, and construct the search function through Hessian matrix and negative gradient of the function, Calculate the next iteration point. The following iteration point is the initial point. Continue to calculate the next iteration point until the condition of extreme point is met. The iteration point is the extreme point. This method has fast iteration speed and accurate location. The accuracy of Newton’s method is verified by simulation data.
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