本文使用信赖域策略结合投影梯度算法来解约束优化问题，并给出算法及其收敛性。
This paper is to study the convergence properties of the gradient projection method with trust region strategy for constrained optimization.
提出了基于连续比例因子的梯度投影算法。
The gradient projection method based on continuous scale factor is presented.
讨论带不等式和等式约束优化问题，提出了求解非线性规划问题的广义摄动梯度投影算法。
In this paper, the constrained optimization problem is discussed to arrive at a general perturbed gradient projection method for solution.
采用椭球剖分策略剖分可行域为小的椭球，用投影次梯度算法解松弛二次规划问题的拉格朗日对偶问题，从而获得原问题的一个下界。
A projection subgradient algorithm for the Lagrangian dual problem of the relaxed quadratic problem is employed to general lower bounds of the optimal value for the original problem.
本文对现有的变分不等式问题的二次外梯度投影算法进行分析，并对可行域为球的二次外梯度投影算法的计算过程进行简化。
This paper makes an analysis of this quadratic outer gradient project algorithms and simplifies the process of the computation of projection needed in this method for the case of domain being a ball.
为了轨道优化的实时计算，构造了一类梯度投影下降算法，并且给出实际应用的具体步骤。
The gradient projection algorithms are constructed for the real-time computation of trajectory optimization, and the concrete steps of the algorithms are also given.
该方法基于MAP算法，通过利用梯度投影的方法对重建结果不断进行迭代优化得到最终的理想高分辨率影像。
In order to attain a high-resolution image, the algorithm is based on the MAP algorithm, solving the optimization by proposed iteration steps with using the gradient projection method.
该方法基于MAP算法，通过利用梯度投影的方法对重建结果不断进行迭代优化得到最终的理想高分辨率影像。
In order to attain a high-resolution image, the algorithm is based on the MAP algorithm, solving the optimization by proposed iteration steps with using the gradient projection method.
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