矩阵函数

Several important matrix function such as e〓, log (1+A), cos (1+A) and A〓 are approximated via truncated matrix continued fractions, and the error bounds associated with the continued fraction approximants of these matrix function are given.

在第六章，我们研究了矩阵函数的数值计算，我们给出了几个比较重要的矩阵函数如e〓，log（1+A），cos与A〓的连分式逼近算法，并给出了各自的误差分析。

With the aid of the spectral decomposition and finite expression formula of matrix we can compute matrix function.

利用矩阵函数的谱分解与有限表示形式计算矩阵函数。

This paper is about how to establish the parallel frame of curves in R~n by using the method of exponential matrix function.

本文介绍了如何用指数矩阵函数的方法建立R~n中曲线的平行标架，用此种方法可以很容易建立任意维数空间中曲线的平行标架。

We also adopt the iterative method to study the matrix nearness problem associated with these inconsistent matrix equations systematically in this dissertation, and characterize the minimization property of this iterative method by making use of the matrix function in subspace for the first time, which is the important improvement for the achievements of references.

本文还采用迭代方法系统地研究了问题Ⅰ，并首次利用子空间上的矩阵函数来刻画该迭代方法的极小化性质，这是对已有研究成果的重要补充和完善。

In chapter 2, first of all,we characterize subspace V_0 of multiresultion analysis {V_j}_~ based on invariant subspace. Subsequently, we consider the equivalent conditions among orthogonal multiwavelet Ψ=(Ψ_1,Ψ_2,...Ψ_r)~T, subspace, basis and dimension of subspace, properties of filter function matrix P are dealt with.

第二章讨论了多尺度分析{V_j}_~中子空间V_0的性质，进而讨论了多尺度分析生成的多重正交小波Ψ=(ψ_1，ψ_2，…，ψ_r)~T和子空间V_0以及基和维数之间的等价关系，分析了滤子函数矩阵P的性质，最后给出了r阶矩阵函数P生成尺度函数Φ的充分条件。

In Chapter 4 we discuss the solvable theorem of adaptive inverse optimal control problems, and proceed with controller designs of global asymptotic stability in probability, adaptive inverse optimal stabilization in probability and output-feedback adaptive inverse optimal stabilization in probability for strict-feedback stochastic nonlinear continuous systems with additive standard Wiener noises and constant unknown parameters using It〓's differentiation rule and an adaptive backstepping algorithm. Control laws and adaptive laws can be obtained at one time by this design scheme. Many simulations have been performed to validate the properties of the proposed adaptive control scheme.

在第4章中，针对具有标准Wiener噪声扰动和未知定常参数的不确定随机非线性系统，提出并证明了自适应逆最优控制问题可解定理，构造了适当形式的四次型随机控制Lvapunov函数，基于It〓微分规则和自适应Backstepping算法，系统地设计了全局依概率渐近稳定控制器、自适应逆最优控制器、输出反馈逆最优控制器以及在设计中如何处理二阶Hessian矩阵函数的方法，这种方法可同时获得控制律和自适应律，通过实例仿真，表明该控制算法是有效性的。

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan＇s normal form, and based on this property, the reducing matrix was taken as the transformation one.

针对非经典阻尼振动线性系统，为消除非经典阻尼项给求解带来的困难，通过引入矩阵函数变换消除了原系统的阻尼条件项，将非经典阻尼振动微分方程转化为拟时不变经典阻尼方程。

We construct a kind of special matrix function, which is used to characterize the minimization property of this iterative method, and prove that the approximate solution, generated by this iterative method, minimizes this kind of matrix function over a special affine subspace, which means that the Frobenius norm of the residual sequence is strictly monotone decreasing.

通过构造一类特殊的矩阵函数来刻画该迭代方法的极小化性质，并证明了由该迭代方法计算出来的逼近解，可使得这类矩阵函数在一个仿射子空间上达到极小，而且所得到的残差序列的Frobenius范数是严格单调递减的。

Moreover, relations between some matrix weighted partial orderings are investigated, and weighted partial orderings of matrices and orderings of their functions are also compared.

此外，我们还讨论了几种矩阵加权偏序之间的关系，并结合本文提出的矩阵函数研究了矩阵偏序与其函数偏序之间的关联。

The paper studied the multiobjective semidefinite programming with a semidefinite constraint of a matrix function and a multiobjective function.

主要研究含矩阵函数半定约束和向量函数等式约束以及多个目标函数的多目标半定规划的对偶和鞍点问题。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。