Hessian matrices are used in large-scale optimization problems within Newton-type methods because they are the coefficient of the quadratic term of a local Taylor expansion of a function.
海森矩阵被应用于牛顿法解决的大规模优化问题。混合偏导数和海森矩阵的对称性海森矩阵的混合偏导数是海森矩阵非主对角线上的元素。
Chapter seven draws a conclusion of this paper and make a forward looking on the expansion of the system's performance and function.
第七章给出了本文的主要结论，同时对系统性能的进一步优化和功能的扩展进行了展望。
When parameters of the input of a large scale system deviate, its approximate reduced order model can be obtained by using the asymptotic expansion of the input function.
当大系统的输入函数的初始参数发生偏离时，其最优简化模型的近似模型可以利用输入函数的渐近展开得到。
In this paper, the effect of Legendre expansion of scattering phase function with a finite number of terms on solving radiative transfer equation is studied and an improved algorithm suggested.
本文研究了散射相函数的有限项的勒让德展开对于求解辐射传输方程的误差效应，提出了一个改进算法。
With the continuing expansion of the function meaning, a number of new features emerge on the functional organization: from static, single and identified to a dynamic, pluralistic and uncertained.
随着功能涵义的不断拓展，功能组织方式出现了一些新的特征：由静态的、单一的和确定的转变为动态的、多元的和不确定的。
Concrete expansion function is to produce a certain volume expansion after concrete hardening of concrete to eliminate concrete early hardening volume contraction.
混凝土膨胀剂的功能是使硬化后的混凝土产生一定的体积膨胀，抵销混凝土硬化早期产生的体积收缩。
By introducing a group of function orthogonal basis into the input space, the input functions and the network weight functions are expressed in the expansion form.
在输入空间中引入一组函数正交基，将输入函数和网络权函数表示为该组正交基的展开形式，利用基函数的正交性简化过程神经元聚合运算。
In the process of application of Improved BP algorithm in PNN, the input functions and the network weight functions are represented as expansion of a same orthogonal function basis.
在改进BP算法与网络训练的结合过程中，权函数及输入函数皆被用同一正交基函数展开。
It is shown that the expression of electric-type dyadic Green's function is the sum of an eigen-mode expansion containing nine dyadic components and a singular term.
得到的电型并矢格林函数表达式由包括九个并矢分量的本征模展开式和一个奇异项组成。
This paper, using characteristic function expansion method, have soluted a vibration response problem of a uniform bar-spring which was subjected to a series of rectangular pulses excitation.
本文运用本征函数展开方法，求解均质杆——弹簧系统受序列矩形脉冲激励的振动响应问题。
A class of process neural network model with two hidden-layer based on expansion of basis function is brought forward.
提出一类基于基函数展开的双隐层过程神经元网络模型。
An analytical series solution for dynamic stress concentration of lined cavities in a half space under incident plane SV waves was given by using wave function expansion method.
采用波函数展开法给出了半空间中衬砌洞室群在平面SV波入射下动应力集中问题的一个级数解析解。
In consideration of the complexity of the aggregation operation of time in process neural networks, a new learning algorithm based on function orthogonal basis expansion is proposed.
该文在考虑过程神经网络对时间聚合运算的复杂性的基础上，提出了一种基于函数正交基展开的学习算法。
This paper gives a practical algorithm for partial fraction expansion of a rational function with multiple poles without derivative evaluation.
对具有多重极点的有理函数，本文给出了部分分式展开的实用算法，该算法不需求导数值。
To construct a progression at infinity as an expansion of function in the continuous interval, a good result was achieved.
给出了一种不含导数的函数展开方法，在函数的连续区间内构造一个无穷级数作为函数的展开式。
This project is not only an improvement to the architecture but also an expansion of system's function, which means a lot to the missile flight simulation and the final navigation system.
该项目的完成不仅使惯性元件测评系统在结构设计上有了较大改进，在功能上也使其更加完备，向着最终的弹体飞行仿真及导航系统的实现迈出了一大步。
This project is not only an improvement to the architecture but also an expansion of system's function, which means a lot to the missile flight simulation and the final navigation system.
该项目的完成不仅使惯性元件测评系统在结构设计上有了较大改进，在功能上也使其更加完备，向着最终的弹体飞行仿真及导航系统的实现迈出了一大步。
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