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1·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。

2·This paper has popularized the concept of unitary matrix, introduced the column (row) unitary matrix and discussed their properties.

将酉交矩阵的概念进行了推广，引入列(行)酉交矩阵及亚酉交矩阵、强亚酉交矩阵的概念，并讨论了它们的性质。

3·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。

4·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。

5·The key of this method is to spread a perfect sequence by correlation product of the shift sequences set of the perfect sequence and corresponding unitary matrix.

提出了一种由一个完备序列的移位序列集和酉矩阵构造零相关区序列集的方法。

6·In other words, the Hermiticity of a matrix is invariant under unitary transformations.

换言之，矩阵的厄密性在幺正变换下保持不变。

7·It can ensure unitary column orthogonality for the resulting matrix sequence.

该方法可确保迭代矩阵列的单位列正交性。

8·This text that make use of the order of matrix gives outs the unitary polynomials divide exactly theorem of judgment; And give a simple and convenient method about quotients type at the same time.

利用矩阵的秩给出一元多项式整除性的判定定理，同时给出商式的简便求法。

9·Subsequently, we study some unitary dilation of con-traction by using the method of constructing block matrix.

其次通过构造分块矩阵的方法研究了压缩矩阵的几种酉膨胀。