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介绍了一种工程上有十分重要运用价值的污水网络最短树中Steiner点位置的算法.文中从工程实际出发,将高阶非线性方程组转化成多个一阶或二阶的线性方程组,使计算机进行快速迭代运算成为可能.文章对算法的收敛性作了严格的数学证明.该方法用于无锡市的污水改造工程,取得了令人满意的结果.
An algorithm for the Steiner point location in the shortest tree of a wastewater network with engineering value is introduced. In this paper, starting from engineering practice, it is possible to convert high-order nonlinear equations into multiple first-order or second-order linear equations and make the computer perform rapid iterative operations. The article has made the strict mathematical proof to the convergence of the algorithm. This method has been applied to wastewater treatment project in Wuxi City and has achieved satisfactory results.