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.
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.
利用广义逆矩阵的特性，改进了线性约束梯度投影法的理论。
In this paper, the theory of gradient projection methods for linearly constrained optimization formerly fomulated by the author is further improved.
提出了一种基于梯度投影矩阵下的求解线性约束下规划问题的神经网络。
A novel neural network is proposed, which solve the programming problems with linear restraints based on gradient projecting matrix.
利用梯度投影构造搜索方向，并使用符号函数对搜索方向和搜索函数进行有效的控制。
The search direction is formed by using gradient projection, and the search directions and functions are controlled effectively by the sign functions.
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.
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.
本文以梯度投影法迭代直接求解出观测值的改正数，并在最后给出一个简单算例，以资验证。
The correction of the observation is obtained by the interation with gradient projection method and a simple calculation example is given to verify it.
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.
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.
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.
梯度投影法从优化的角度对机器人的运动进行处理，在保证机器人完成作业任务的同时，使机器人获得某些性能的优化。
And gradient-projection method focused on changing robotic motion from an optimizing perspective, which achieved some performance optimizations while fulfilling required tasks.
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.
建立了梯度面积投影曲线模型，用于候选人脸的校验。
A model of grads area projection curve is built to verify face candidate.
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.
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.
为了克服这一困难，本文通过引进一个仿射变换矩阵，构造仿射投影既约预条件共轭梯度路径来搜索获得迭代方向。
In order to overcome the difficulties, we introduce an affine scaling matrix, and form the affine scaling reduced preconditional conjugate gradient path to obtain a new accepted step.
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.
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.
这个功能实现了模糊图像梯度点的局部变化的部分不变性，如仿射或三维投影。
The features achieve partial invariance to local variations, such as affine or 3D projections, by blurring image gradient locations.
实验结果表明，圆周积分投影和圆周梯度积分投影曲线具有良好的旋转和尺度不变性。
The experimental result shows that the curves corresponding to circular integral projecting and circular grads integral projecting own excellent steadiness when target rotates and flexes.
图像梯度修正是将图像梯度方向旋转到尽量与法向量在图像平面的投影反向一致的方向上。
The revision of the image gradient is to revolve it to the reverse direction of the normal vector's projection on the image plane.
图像梯度修正是将图像梯度方向旋转到尽量与法向量在图像平面的投影反向一致的方向上。
The revision of the image gradient is to revolve it to the reverse direction of the normal vector's projection on the image plane.
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