Hermitian Matrix

Two notes for simultaneous iteration of matrix eigenvalue problems are given : 1 , A new Jacobi-type method for solving Hermitian matrix eigenproblems is established .

本文对同时迭代法作两点注。其一，对文[1]中关于B-正规矩阵的同时迭代法所涉及的，解埃尔米特矩阵特征值问题的Jacobi方法进行改进，使计算量大为减少，收敛加快；

Eigenvalue Problem of a High Rank Hermitian Matrix Containing Parameters

含参数高阶厄米矩阵求解本征值问题

The Second Version of Hermitian Matrix with Applications

埃米特矩阵的第二形式及其应用

Hermitian Matrix and Integrated Network Stability

埃米特矩阵和集成网络的稳定性

Positive Semidefinite Hermitian Matrix Solution of a Matrix Equations

一个矩阵方程组的半正定Hermitian矩阵解

Additive Rank 1 Preservers between Hermitian Matrix Space over Dimension Rings

体上Hermitian矩阵空间保秩1的加法映射及其应用

Note about Characteristic of Hermitian Matrix

关于Hermitian矩阵的特征的注记

Cogredient condition of Hermitian matrix over a division ring

除环上厄米特阵同步的条件

An effective method , based on group theory , is proposed to solve the eigenvalue problem of a high rank Hermitian matrix containing several parameters .

基于群论原理，提出一种求解含参数高阶厄米矩阵本征值的有效方法。

Second , an unconditional Haynsworth matrix inequality for positive semidefinite Hermitian matrix is presented .

然后给出一个无约束条件的Haynsworth矩阵不等式的在半正定Hermitian矩阵的推广形式。

Equivalent Propositions of Positive Semidefinite Hermitian Matrix

半正定Hermitian矩阵的等价命题

Secondly , in section II of this chapter , we introduce the inequalities of Hermitian matrix trace with constrained condition and its application in statistics .

其次，在本章第三节介绍了约束条件下矩阵迹不等式及其统计应用。

A method to numerically generate orthogonal ultra wide band ( UWB ) shaping pulse series was proposed based on wavelet and Hermitian matrix eigenvectors .

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

First , we point out that the Haynsworth matrix inequality on positive definite Hermitian matrix does not work for generalized positive semidefinite matrix .

首先指出关于正定Hermitian矩阵的Haynsworth矩阵不等式对半正定Hermitian矩阵是不成立的；

Additive rank-one preserving surjections on Hermitian matrix spaces

Hermitian矩阵空间上保秩一的可加满射

Using some fundamental definition and theorem of unitary space , this paper comes to several conclusions of Hermitian matrix which is parallel to symmetric matrix of Euclidean space .

本文利用酉空间中一些基本定义和定理，得出与欧氏空间中对称矩阵相平行的厄尔密特矩阵的几个结论。

In this section , the trace of the special form matrix is mainly discussed and the inequalities of Hermitian matrix which are extension forms of the known results are gotten .

本节主要讨论一类特殊形式的矩阵特征值和它的不等式，把已有结果推广到了一般形式。

Some properties for H-self-adjoint matrix are discussed , one inequality that with regard to H-self-adjoint matrix trace is obtained and a relevant result for positive definite Hermitian matrix is generalized .

研究H-自共轭矩阵的一些性质，从而给出关于H-自共轭矩阵的迹的一些不等式，推广了正定Hermitian矩阵的相关结论。

Then , if some eigenvalue belonging to one Hermitian matrix is degenerate , the degeneracy of this eigenvalue should be lifted through combining the other Hermitian matrix .

那么，如果属于其中之一的厄米矩阵的某个特征值是简并的，则该特征值的简并度应通过另一个厄米矩阵来予以消除。

Exchangeable Positive Definite Hermitian Mean Matrix

交换正定Hermitian矩阵平均矩阵的半正定性

In addition , we find that the O-reduction criterion can be physically realized by measuring a Hermitian correlation matrix of local orthogonal observables .

另外，还发现O-约化判据可以通过测量局域正交可观测量的一个厄米关联矩阵来获得物理的实现。

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

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。