该方法吸收了梯度投影法和最小范数法的优点。
The method absorbs the advantages of the gradient projection method and minimum norm method.
对于其中的非线性约束采用活动约束集的概念，而对于线性边界约束，则按约束优化方法中的梯度投影法作专门处理。
The active constraint set was introduced in the nonlinear constraints of the optimization, meanwhile the project gradient method was used to treat the linear boundary constraints.
本文将数学规划法与优化准则法有机地结合起来，导出了一种新的优化方法——变尺度梯度投影法。
A new nonlinear optimization method called variable metric gradient projection method is presented. It is a combination of mathematical programming with optimality criterion.
最后，通过这些误差界，我们给出了由投影梯度方法产生的迭代序列收敛的条件。
Using the error bounds, we give a condition for convergence of the sequence of iterates generated by projected gradient methods.
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.
第一章是绪论部分。简要介绍了投影梯度方法，误差界估计以及本文的主要工作。
Chapter 1 is the introduction of this paper, which introduces the the projected gradient method, the error bounds estimation and the main results obtained in this paper.
第三章研究了投影梯度方法的误差界估计。
In Chapter 3, some error bounds estimations of the projected gradient methods are obtained.
第三章研究了投影梯度方法的误差界估计。
In Chapter 3, some error bounds estimations of the projected gradient methods are obtained.
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