1) general projection algorithm
广义投影算法
2) generalized gradient projection method
广义投影梯度算法
1.
This paper analyzes the generalized gradient projection method for inequality constrained optimization problems under both non-degeneracy and degeneracy, and finds that two methods adopted for solving the different iteration directions are the same in essence.
对非退化和退化两种情形下的不等式约束优化问题的广义投影梯度算法作了分析,发现所采用的两种不同的求解迭代方向的方法在本质上是相同的。
3) generalized projection operator
广义投影算子
1.
A new iterative scheme is introduced which is proved to be weakly convergent to zero point of maximal monotone operator T by using the techniques of Lyapunov functional and generalized projection operator,etc.
本文引入了一种新迭代格式,利用Lyapunov泛函和广义投影算子等技巧,在Banach空间中证明了迭代序列弱收敛于极大单调算子T的零点的结论。
4) generalized projection
广义投影
1.
A generalized projection of strongly sub-feasible direction method with strong convergence for nonlinear constrained optimization
非线性约束优化一个强收敛的广义投影强次可行方向法
2.
Optimization problems with general constrains are discussed,a new algorithm with arbitrary initial point is presented by using the generalized projection technique and the idea of strongly subfeasible direction methods.
讨论一般约束最优化 ,利用广义投影技术和强次可行方向法思想 ,建立一个初始点任意的新算法 。
3.
Under mild conditions,a new feasible descent algorithm is presented and its global and superlinear convergence are proved by using the technique of combining generalized projection method with sequential systems of linear equations.
在较温和的条件下，采用广义投影和序列线性方程组相结合的技术，建立一个新的可行下降算法，证明了算法的全局收敛性和超线性收敛性。
5) ILSP-GMA
迭代最小二乘广义模投影算法
6) k-generalized projection
k广义投影
1.
Since it is used widely in mathematics and other subjects, it got rapid development at the beginning of the 20th century, k-generalized projections and operator equations have become hot topics in operator theory.
如果T∈B(H)满足T~k=T~*,其中k∈N且k≥2,则T称为k广义投影。
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