矩阵函数

Methods to estimate Green's function matrix are presented in detail and relations between these methods are stated.

本文详细推导了声场格林函数矩阵的各种估计方法，统一了各估计方法之间的关系。

A sort of construction method of BCFPF is provided.The families of Hadamard complementary matrix pairs and can be constructed correspondingly by using the equivalent relationships.

根据等价关系，该文实质上也给出了Hadamard互补矩阵偶族的性质、构造方法，这些表明Bent互补函数偶族在最佳信号设计方面有广阔的应用前景。

The DFP method is proved a officient one in processing unconstrainted optimization problem, so in this thesis, used the idea of mechanical structural optimization for reference analytically and extended modified formula of DFP—matrix to shape optimiation the DFP—Hamilton function method is put forward.

由于变尺度方法是有效的无约束优化方法，本文在分析的基础上借鉴了机械结构参数优化的思想，并将变尺度矩阵的修正公式扩展至形状优化中去，进而提出了变尺度—H函数极值法，并用其解决了梁、柱和复杂曲面的形状优化设计问题，取得了较好的效果。

Based on the analogy of structural mechanics and optimal contro1, and a1so based on carrying the minimum potential energy variational principle in elastici- ty to the generalized one, the theory of Hami1tonian system can be introduced into theory of e1asticity and e11iptic PDE. The transverse eigensolutions of the Hamiltonian operator matrix and its expansion solution method can be deduced.

利用结构力学与最优控制相模拟的理论，将弹性力学势能变分原理导向部分一般变分原理，并将哈密尔顿体系的理论引入到弹性力学与椭圆型偏微分方程之中，导出一套横向哈密尔顿算子矩阵的本征函数向量展开解法。

In order to construct the Hermitian matrix,an appropriate pulse in less than 1?ns duration time was generated firstly based on wavelet.

基于小波函数和Hermitian矩阵特征向量，提出了一种产生超宽带正交成形脉冲序列的方法。

Then,the orthogonal pulse series were produced through Gram-Schmidt process using the Hermitian eigenvectors given by Hermitian matrix.

首先利用小波函数产生小于1 ns的脉冲波形；然后构造Hermitian矩阵，根据其特征向量和Gram-Schmidt过程得到UWB正交成形脉冲序列。

Thereby, sparsity of the Hessian matrix of the objective function is maintained by the approximate updated matrix sequence.

此算法的另一个重要性质是：算法产生的逼近目标函数Hessian阵的矩阵序列保持对称正定性。

An modified BFGS algorithm to solve the unconstrained optimization, whose Hessian matrix of the minimum point of the convex function is rank one defect, is presented in this paper.

本文对凸函数在极值点的Hessian矩阵是秩亏一的情况下，给出了一类求解无约束优化问题的修正BFGS算法。

Based on this reformulation, we first give the conditions under which the stationary point of unconstrained optimization problem is a solution of GNCP, and then give the conditions under which Hessian matrix of vector-valued function is nonsingular.

基于此转化形式，我们首先研究优化问题的稳定点为GNCP问题解的充分条件，然后建立无约束优化问题的向量价值函数的Hessian矩阵非奇异的充分条件。

An modified BFGS algorithm o solve the unconstrained optimization, whose Hessian matrix of the minimum point of the convex function is rank one defect, is presented in this paper.

本文对凸函数在极值点的Hessian矩阵是秩亏一的情况下，给出了一类求解无约束优化问题的修正BFGS算法。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。