共轭方向

The present thesis will adopt some of these methods to study on conjugation including the conjugate chord, Conjugate Direction and conjugate diameter of Conics as well as the Conjugate Direction, Conjugate net, Harmonic conjugate and Conjugate minimal surfaces of surfaces.

本文利用到了其中的某一些方法，讨论了这个问题，其中包括二次曲线的共轭弦、共轭方向，共轭直径。曲面上的共轭方向，共轭网，调和共轭，共轭极小曲面等。

Conjugate direction algorithm is an important algorithm in the theory of optimization.

引言 在二次函数的最优化算法中，共轭方向算法是一种最有效的方法。

When using restricted maximum likelihood for parameter estimation, we need to get the minimum of a function. But if the expression of the function is complicated, it is difficult to obtain the derivatives of the function. We introduced conjugate direction method which avoided the derivatives.

在用限制极大似然法估计参数时，需解决函数的极小化问题，而当函数的表达式较为复杂时，将难以获得其偏导数，本文给出的共轭方向法，避开了求导问题。

The ABS algorithms are utilized in modifying the Zangwill conjugate direction method for nqnconstrained optimization problems.

将ABS方法与Zangwill方法相结合。构造出一种有限步收敛的求解具有线性约束的二次规划问题的共轭方向法－LAZ法

The characteristics of the steepest descent method's small amount of computations and conjugate direction method's fast convergence combined, a conjugate vector base method for solving ill-conditioned linear equations was proposed.

结合最速下降法计算量小和共轭方向法收敛速度快的特点，提出了一种求解病态方程组的共轭向量基的方法。

Mathematical model has been dealt with by punish function search method. Hooke-Jeeves modular vector search method and Powell conjugate direction search method have been adopted and modified.

利用"惩罚函数"法进行了数学模型的处理，采用并改进了Hooke-Jeeves的模矢搜索法及Powell的共轭方向法，还提出一种随机搜索法。

In terms of the minimum question of a positive definite quadratic function,a set of Newton directions in minimum points derived with an accurate single dimensional search are used to produce a set of conjugate direction ,and a proof of convergence is presented.

对正定二次函数极小问题，利用精确一维搜索所得极小点处的牛顿方向来生成一组共轭方向，并给出收敛性证明

The path is defined as linear combination of a sequence of conjugate directions whichare obtained by applying standard conjugate direction method to approximate quadratic functionof unconstrained optimization.

Bulteau和Vial在[7]中构造了无约束最优化问题的共轭梯度路径，其基本思想是将标准共轭方向法应用于无约束优化目标函数f的局部二次近似函数，得到一组共轭方向序列。

In this paper, a new type of optimization method based on conjugate directions is proposed.

摘 要：给出了一种基于共轭方向的最优化方法。

With the guide of non-linear program theory, by using interpolative steps and inexact line search, an improved conjugate gradient method was found, by which the training rate of BP networks increases by tens or hundreds of times. Moreover, the improved method is effective to solve non-linear equations for which Newton's method does not converge owing to the problems of the quadratic derivative and inverse matrix.

通过大量的数值模拟试验发现，在非线性规划理论的指导下采用间插步骤和不精确的一维搜索技术改进的共轭梯度法，是基于梯度和共轭方向的连续搜索算法中最有效的算法，这种算法使BP网络的训练速度提高几十到几百倍，使BP网络的实际应用效果大为改善；而且这种算法对于用牛顿法由于求二阶导数和求逆矩阵等问题难于收敛的非线性方程组的求解也是很有效的。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。