1) sufficient descent direction
充分下降方向
2) sufficiently descent
充分下降
1.
The method has the following two attractive properties,one is that the iterative direction is always a sufficiently descent direction without utilizing the line search,the other is that the iterative direction always satisfies the angle property.
该方法的优点是:(1)在无需线性搜索的条件下,迭代方向就是充分下降方向;(2)迭代方向保持夹角性质。
2.
The method has the following attractive properties:(1) the iterative direction is always a sufficiently descent direction without utilizing the line search;(2) Under more mild conditions than Yu(2006),the method has global convergence.
该算法的优点是:(1)在无需线性搜索的条件下,迭代方向就是充分下降方向;(2)在比喻(2006)的算法更弱的条件下,分析了算法的全局收敛性。
3) descent direction
下降方向
1.
An Algorithm for Finding Global Minimun with Descent Direction;
带下降方向搜索的总极值方法
2.
For a given value of the parameter, the method searches for an optimum point of the approximate function in a descent direction.
该方法对给定的参数在下降方向寻找逼近函数的最优点 。
3.
In this paper, the author applies affine reduced operation to the model based secant method and gives a new method to look for the descent direction for solving unconstrained minimization problem.
把仿射约化变换应用于基于模型的割线法中，给出了一种新的求解无约束极小化问题的下降方向算法。
4) sufficient descent property
充分下降性
1.
We proved the sufficient descent property of the new algorithm without any line search condition,and under the Wolfe line search,the global convergence of the new algorithm is proved.
在无任何线搜索下,证明了新算法能够保证充分下降性,并且在采用Wolfe线搜索时,证明了新算法具有全局收敛性。
2.
In the proposed algorithm,the new formula possesses the sufficient descent property without any line searches.
给出修正的HS公式,并且将其应用到无约束优化中,得到一类新的共轭梯度(型)算法,新的公式不需要任何线搜索可以保持充分下降性。
3.
In the proposed algorithm, the new formula possesses the sufficient descent property without any line searches.
新的公式不需要任何线搜索可以保持充分下降性。
5) sufficient descent
充分下降性
1.
This conjugate gradient method with strong Wolfe-Powell line search satisfies the sufficient descent property,and this new kind of conjugate gradient algorithm with strong Wolfe line search possess the global convergence property.
在强Wolfe-Powell线搜索下所给公式具有充分下降性,所给该新算法具有全局收敛性。
2.
The sufficient descent property and global convergence of the new conjugate gradient method with general Wolfe line search were proved.
给出一类求解非线性无约束优化问题修正的共轭梯度类型公式和算法,并证明该公式在广义Wolfe线搜索下具有充分下降性和全局收敛性。
6) decrease direction cone
下降方向锥
1.
Secondly,a conclusion of decrease direction cone is also proved.
文章先是证明了一个函数的凸性,然后提出了下降方向锥的一个凸性和一种新的表达形式,并且用了新的方法去证明。
补充资料：必要充分统计量
必要充分统计量
necessary sufficient statistic
必要充分统计量[毗留，叮别伍cia兹由血血;.e06xo及”.M明八ocTaTO，Ha，cTaT”cT~』 见最小充分统计最(mi刊欧uls刊币eie以sta比tic).
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