1) Gradient projection method
梯度投影法
1.
Rosen s gradient projection method sometimes needs to repeat calculation of its projection matrix for nonlinear programming with linear constraints.
对Rosen梯度投影法提出了一种改进策略 ,使其在每一步计算中不再需要重复计算投影矩阵 ,大大减少了计算量 ,使算法更加稳定和实用。
2.
Based on the gradient projection methodand the constrained variable method,a new combined control method is proposed and the simulations for aplanar redundant manipulator with three-degree of freedom are also performed.
本文以冗余度机械手为研究对象,在梯度投影法和变量约束法的基础上给出了一种新的控制方法,即混合法。
3.
Application of gradient projection method to control of redundant robots is discussed under theframework of resolved motion rate control (RMRC).
本文讨论分解运动速度控制框架下将梯度投影法应用于冗余机器人控制的有关问题。
2) gradient projection methods
梯度投影法
1.
In this paper,the theory of gradient projection methods for linearly constrained optimization formerly fomulated by the author is further improved.
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。
2.
in this paper, on the basis of the theory and the methods of feasible direction algorithm formulated by the author, the expression of search direction of the gradient projection methods is given, the necessary and sufficient conditions under which the search direction is the feasible direction are suggested, and the theory of the methods of gradient projection is established.
本文应用作者（１９９５，１９９６）所建立的可行方向法的理论和方法，给出了梯度投影法的搜索方向的表达式和搜索方向是可行方向的充分必要条件；建立了梯度投影法的理论。
4) projected gradient method
投影梯度法
1.
This thesis develops a new conjugate gradient method and a spectral gradient method for solving large-scale unconstrained optimization problems, and studies spectral projected gradient method for the minimization of differentiable functions on closed convex sets.
第一章先回顾共轭梯度法和谱梯度法的一些发展历程,随后介绍有关投影梯度法的相关知识。
2.
In this paper the characters of MA model and the trust region method are analyzed, a subproblem with MA model and trust region technique is presented, and a projected gradient method is use.
本文分析了MA模型和信赖域方法的特点,构造了MA模型信赖域子问题,并利用投影梯度法进行求解,在此基础上提出了一个新的求解非线性规划问题的MA(移动渐近线)模型信赖域方法。
5) projection gradient method
投影梯度法
1.
Then,by taking the minimum bending strain energy as the optimization object and by determining the nonlinear constraints according to the reasonable finished dead state,the model is solved via the projection gradient method,with all kinds of geometric nonlinearity being fully considered.
将超千米级斜拉桥的索力优化问题归结为非线性隐式优化的数学模型,以系统最小弯压应变能为目标,根据合理成桥状态指定各种非线性约束条件,利用投影梯度法进行优化问题的求解,求解过程中充分考虑了各种几何非线性的影响。
补充资料：滤波反投影或卷积反投影
滤波反投影或卷积反投影
影像学术语。当代影像学设备进行影像重建的数学方法。在直接用扫描后所获得的投影轨迹剖面图反投影重建出的CT图像中，无法避免角度卷入条纹伪影(angular aliasing streaks)造成的模糊和失真。这种现象与被扫描层面的空间频率中高频信息的损失有关。使用一种精密的数学方法去除这种模糊。称为“展现”(unfolding)或去卷积(deconvolution)，即在反投影前使用一种数学的“滤器”或卷积函数对原始数据进行修正，然后再进行反投影。两步数学处理过程合称为滤波(修正后)反投影或卷积(后)反投影。这种方法的优点是处理过程简单，速度快，所得图像逼真、清晰。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条