共轭矩阵

关于四元数自共轭矩阵乘积迹和特征值的几个定理

Several Theorems on Trace and Eigenvalues for Quaternion Self Conjugate Matrices Products

关于强广义自共轭矩阵的性质

On Strongly General Self - conjugate Matrices

关于正定自共轭矩阵的Kronecker乘积与Hadamard乘积的行列式的界限

Study on Bounds on Determinants for Kronecker Products and Hadamard Products of Positive Definite Self conjugate Matrices

本文给出了两个四元数矩阵乘积的奇异值的一些不等式，在此基础上估计了两个自共轭矩阵A、B的乘积的每个特征值，其中A≥0、B≥0或B>0。

In this paper we give some inequalities of singular values of product of two quater-nion matrices . Based on this point we estimate each eigenvalue of product of self-conjugate quaternions matrices A and B for A ≥ 0 , B ≥ 0orB > 0 .

本文给出了正定自共轭矩阵的Kronecker乘积与Hadamard乘积的行列式的界限的不等式，推广改进了相关文献结论。

The inequalities on bounds of determinants for Kronecker products and Hadamard products of Positive definite selfconjugate matrices are given . Some refine results are generalized and improved .

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。

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 .

四元数自共轭矩阵特征值的变分特征及其应用

Variational Characterizations of Eigenvalues of Self-conjugate Quaternion Matrix and Its Application

二阶线性自共轭矩阵微分方程解的定性

On Self - conjugate Linear Differential Matrix-equations of Second Order

关于四元数矩阵分解为自共轭矩阵的乘积

On the Decomposition of Matrices Over the Skew-field of Quaternions into Self-conjugate Matrices

四元数自共轭矩阵的一个性质

The characteristic property of quaternion self conjugate matrix

四元数自共轭矩阵乘积的相似变换

Similarity Transformation for Product of Slef-conjugate Quaternion Matrices

H-自共轭矩阵的迹的一些不等式

Inequality on Trace of H-self-adjoint Matrix

四元数自共轭矩阵对的特征值与右特征向量

The Eigenvalue and the Right-eigenvector of a Pair of Self-conjugate Matrices Over the Skew-field of Quaternions

基于双α对角占优矩阵的迭代法的迭代矩阵特征值模的上界四元数体上自共轭矩阵广义酉对角化

The Upper Bounds for the Module of Eigenvalue of Iteration Matrix Based on Double α Diagonally Dominant Matrix

跟转置矩阵记号相联系的是它的复共轭矩阵，物理学家称之为伴矩阵。

Associated with the notion of the transposed matrix is its complex conjugatx known to physicists as the adjoint matric .

并且给出了立体阵的转置矩阵的定义，得到了立体阵的转置矩阵和共轭矩阵的定义和性质。

The definition of the transposed matrices is given , and gotten some properties of the transposed matrices and the conjugated matrices .

探讨了四元数体上自共轭矩阵的广义酉对角化的新证法，并由此推出其它相应的性质。

The main purpose of this paper is to study a new proof of extended unitary diagonalizable of self-conjugate matrix in quaternion field and deduce other properties concerned .

在对大连气象台最近7年来大风等级的预报和大风等级实况的对比统计分析后，得到了反映两者之间关系的联合概率列联表，即所谓共轭矩阵。

On the basis of comparatively statistical analysis of actual data of 7 years forecasts and actual conditions of gale degree from Dalian Observatory , the conjugate matrix has been got .

广义Hamilton矩阵与广义共轭辛矩阵

Generalized Hamilton Matrix and Generalized Conjugate Matrix

利用该Toeplitz矩阵及其共轭转置矩阵的乘积矩阵，我们可以对剩余相干信号的DOA进行估计。

Using the product of the Toeplitz matrix and its conjugate transpose matrix , the remaining coherent signals can be resolved .

另一方面，算法的每步迭代只计算一次共轭投影矩阵，避免了求解二次规划或求两个投影矩阵，因而算法在计算量上有所改进。

On the other hand , the amount of computation is fewer since the gradient matrix only needs to be computed once in each iteration .

根据均匀线阵输出的共轭循环相关矩阵具有很大的冗余特性，提出了基于最小冗余线阵的谱相关共轭循环MUSIC算法。

According to more redundancy characteristics of the conjugate cyclic correlation matrix of uniform linear array output , spectral correlation conjugate cyclic MUSIC algorithm based on minimum-redundancy linear arrays is presented .

关于共轭对合矩阵的注

A Note on the Matrix of Conjugate Involution

关于两个四元数自共轭半正定矩阵乘积的特征值估计

On the Estimation of Eigenvalues of Product of two Self-Conjugate Semi-Positive Definite Quaternions Matrices

文章将复数域上的Rayleigh-Ritz定理推广到四元数体上，并给出了自共轭四元数矩阵的特征值和不等式估计。

In this paper , the Rayleigh Ritz ′ s theorem is generalized from complex field to quaternion field , and some estimations of the inequality on the sum of eigenvalues of self conjugate quaternion matrices are obtained .

自共轭四元数矩阵特征值极小极大定理的一般形式

A General Minimum-Maximum Eigenvalue . Theorem for Self-Conjugate Quaternion Matrices

半正定自共轭四元数矩阵平方的偏序

Partial Orderings for Squares of Positive Semidefinite Self-Conjugate Quaternion Matrices

2×2自共轭四元数矩阵空间的保行列式加法映射

Additive preservers of determinant on 2 × 2 self-conjugate quaternion matrix spaces

分块的自共轭四元数矩阵的惯性与行列式

Inertia and determinant of partitioned Self-Conjugate matrix of quaternions

给出了自共轭四元数矩阵的弱圈积的特征值的一些不等式。

Some inequalities of eigenvalues for weak cycle products of self-conjugate quaternion matrices are given .