(Conjugate Gradient) 共轭梯度法是介于最速下降法与牛顿法之间的一个方法,它仅需利用一阶导数信息,但克服了最速下降法收敛慢的缺点,又避免了牛顿法需要存储和计算Hesse矩阵并求逆的缺点,共轭梯度法不仅是解决大型线性方程组最有用的方法之一,也是解大型非线性最优化最有效的算法之一。 在各种优化算法中,共轭梯度法是非常重要的
conjugate-gradient methodThis paper describes a simple algorithm for calculating the carryover term β in the conjugate-gradient method. The proposed algorithm incorporates an orthogonality correction as well as an automatic restart. Its performance is compared with alternate β forms reported, using ...
In light of the identity APT = PA, we solve the deflated system PA u˜ = Pf for u˜ using the conjugate gradient method and premultiply this by PT. The result is then substituted into u = (I– PT)u + PTu to obtain the solution. The algorithm of the Deflated ICCG method is fir...
1. Wave equation and the finite difference method 1. Imaging 3. Boundary saving scheme Design information of L1 primitives 1. Stencil2D 1. RTM2D Forward streaming module Backward streaming module 3. Stencil3D 1. RTM3D Conjugate Gradient Solver Introduction Conjugate Gradient Algorit...
Ourmethodmakesuseofthe merits of two algorithms :firstordergradientalgorithmandconjugategradientalgorithm. 采用一阶梯度算法结合共轭梯度算法的方法求解了终时不固定的最优控制问题。 dictsearch.appspot.com 2. Anefficientbarrierconjugategradientalgorithmisdevelopedtosolvethisoptimization problem. ...
Preconditioned Conjugate Gradient Method Let $x_0\in \mathbb{R}^{n}$ be an intial vector, Preconditioned Gradient Method algorithm is the following one: \[r_{0}=b-Ax_{0}\] \[z_{0}={C}^{-1}r_{0}\] \[d_{0}=z_{0}\] ...
Conjugate Gradient methodKrylov subspace methodsA conjugate gradient (CG)-type algorithm CG_Plan is introduced for calculating an approximate solution of Newton's equation within large-scale optimization frameworks. The approximate solution must satisfy suitable properties to ensure global convergence. In ...
3) conjugate gradient algorithm 共轭梯度法 1. Training method of multi-layered neural network based on conjugate gradient algorithm; 基于共轭梯度法的多层神经网络训练方法 2. Blind image restoration based on space domain conjugate gradient algorithm; 基于空间域共轭梯度法的盲目图像复原 3. With the...
共扼梯度算法3) Truncated conjugated gradient method 截断共扼梯度法4) conjugate gradient 共扼梯度5) precondition conjugate gradient 预处理共扼梯度算法6) multigrid-conjugate gradient algorithm 多重网格-共扼梯度算法补充资料:扼捥 1.见"扼腕"。 说明:补充资料仅用于学习参考,请勿用于其它任何用途。参...
3) preconditioner conjugate gradient method 预条件共轭斜量法 1. In order to process the wrapped phase with noise,preconditioner conjugate gradient method(PCG) is applied to solve the weighted least-squares phase unwrapping problem. 为处理含噪声包裹相位图,以预条件共轭斜量法求解权重最小二乘相位...