A class of multiplicatively closed Subsets S_2 that is isomorphic to a class of unitary matrix groups U_2 is given by Hyperbolic Euler transformation in this paper . The relation of linear transformation to Lorentz transformation on Hyperbolic plane H is also illustrated in detail .

本文利用双曲Euler公式1w_1283，给出了双曲平面H上的一类乘闭子集S2与一类 幺 正 矩阵群U22w_1305同构，证明并具体刻划了H平面上的线性变换与Lorentz变换的关系。

The full rank factorization and Moore-Penrose inverse for generalized row ( column ) unitary symmetric matrix

广义行（列） 酉对称 矩阵的满秩分解及其Moore-Penrose逆

The MRA with more then one-wavelet function is presented and the multi-wavelet basis is produced by unitary matrix .

我们提出了多函数小波概念，并按照 单 函数的多分辨分析 方法，讨论了多函数小波的一些性质。

The property of generalized unitary matrix is developed and the relations between the generalized unitary matrix and the generalized Hermite matrix is studied .

拓广了广义 酉 矩阵的一些性质，并研究了广义酉阵与广义（斜）Hermite阵的关系。

This method relies on the decomposition of the matrix . The channel matrix is decomposed at the receiver and then a unitary matrix is feedback to the transmitter .

这种方法依赖于矩阵分解的方法，在接收端分解信道矩阵，然后把其中的一个 酉 矩阵反馈回发射端，发射端把数据矢量右乘该矩阵，得到发射信息。

In the third part we compare structured backward errors with non-structured backward errors for some kinds of structured unitary matrix eigenvalue problems discussed in part two .

第二部分中又分了七部分，分别对七类结构 酉 矩阵特征值问题的向后误差进行分析。

Generalized Hermite matrix and unitary matrix

广义Hermite矩阵及广义 酉 矩阵

A unitary matrix in quantum mechanics

量子力学中的 么 正 矩阵

An introduction to sub unitary matrix and its properties are presented and the relation between sub unitary matrix and ( anti ) sub Hermite matrix is studied .

提出了次 酉 矩阵的概念，研究了它的基本性质及其与（反）次Hexmite阵的关系。

The high-dimensional mixing matrix are factorized into triangular matrix and unitary matrix which further turns into a series of low-dimensional sub-problems with one or two unknown parameters .

通过矩阵分解将高维混合矩阵分解为上、下三角矩阵和 酉 矩阵，在此基础上进一步将各 矩阵的求解转化为一系列只含一个或两个未知参数的低维子问题。

The definition of A-unitary matrix and six main properties were given to popularize the concept of unitary matrix .

对 酉 矩阵的概念进行了推广，给出了A酉 矩阵的定义，得出了A酉矩阵的六个主要性质。

In this paper backward errors for seven kinds of structured unitary matrix eigenvalue problems are discussed .

本文讨论了七类结构 酉 矩阵特征值问题的向后误差。

On Sub unitary Matrix

关于次 酉 矩阵

The quasi - unitary matrix and quasi - Hermite matrix

拟 酉 矩阵与拟Hermite矩阵

Backward Error Analysis for Structured Unitary Matrix Eigenvalue Problems

结构 酉 阵特征值问题向后扰动分析

The circuitry of quantum communication is provided and the author obtains Bell radix and quantum gate for corresponding unitary transformation matrix by the circuitry .

给出了实现通信的量子线路，并以该线路为基础计算了Bell基及对应的 幺 正变换 矩阵和量子门。

The paper explains the algorithm of quantum computation designs a 2 n + 1 2 n + 1 unitary matrix and gives a quantum searching of one datum or many data in database according to Grover Quantum Search .

简述了量子计算机的并行算法。设计了一个2n+12n+1的 幺 正 矩阵，并根据量子Grover搜索算法求解出在无序数据库中满足条件的单项或多项数据的计算方法。

By using inner product of unitary space concept of generalized orthogonal basis is given and the relations of generalized orthogonal basis generalized unitary transformation and unitary matrix is studied . Some new results have been obtained .

在酉空间中利用内积给出了广义正交基的概念，研究它与广义酉变换、 酉 矩阵之间的关系，获得了一些新的结果，推广了酉空间的规范正交基、酉变换等结果。

Thirdly it is to introduce image unitary transformation in detail to provide definition and mathematical representation of unitary transformation to simply illuminate the useful properties of unitary matrix and transformation and to study some common transformation formulas and the transform kernel .

接着对图像的酉变换进行了详细的介绍，给出了酉变换的定义及其数学表示形式，简单介绍了 酉 矩阵和酉变换有用的性质，还重点研究了一些常见酉变换的变换公式及其变换核。

Relation between minors and cofactors of an unitary matrix

酉 矩阵的子式与余子式的关系

We introduce some important matrices and their applications in quantum computation and quantum information including density matrix unitary matrix etc.

介绍了量子计算与量子信息中的一些重要的矩阵及其应用，包括密度矩阵、 酉 矩阵等。

The properties of the unitary matrix for the localization of molecular orbitals were discussed .

讨论了分子轨道定域化 酉 矩阵的性质，揭示了其物理意义和统计性质。

We also compare structured backward errors with non-structured backward errors for some kinds of structured unitary matrix eigenvalue problems .

本文还对部分 酉 矩阵特征值的有结构与无结构范数型向后误差进行了比较。

Further Discussion on the Relation between Base Vector Transformation and Unitary Matrix among Representations

表象间的基矢变换与 幺 正 矩阵关系的再讨论

A lossless polarization transfer matrix is a unitary matrix and reciprocal forward and backward polarization transfer matrices are transposed each other .

无损耗时极化变换矩阵为 酉 矩阵；互易时，正、反向极化变换矩阵互为转置。

This paper studies on the false color synthetic processing for polarimetric SAR data . A new method to get false color image of polarimetric SAR data with the unitary Stokes matrix is presented .

本文研究了利用多极化合成孔径雷达（SAR）数据产生极化伪彩色合成图的方法，提出了用M（11） 归一化后得到的Stokes 矩阵来产生目标的极化合成孔径雷达伪彩色图的新方法。

The role of the unitary matrix for the localization of molecular orbitals

分子轨道定域化 变换 酉 矩阵的作用

QR Decomposition and Algorithm for Unitary Symmetric Matrix

酉对称 矩阵的QR分解及其算法