利用标识质点跟踪技术，建立了三维拉格朗日余流模型。
The particle track technology is applied to establish the three-dimensional Lagrangian residual current model.
选用了增广拉格朗日法约束优化技术和牛顿迭代法求解数学模型。
The extended Lagrangian method is used for restraining the optimization technique and Newton iterative method for solving the mathematical model.
然后，运用凸优化技术分析了该资源分配问题，并基于拉格朗日对偶法给出了一种子载波和功率最优分配算法。
Then, by use of multiple carrier system's frequency-sharing property and convex optimization, a subcarrier and power optimal allocation algorithm is proposed based on Lagrangian duality theory.
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